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April 6, '18 NASCUS Report
Improvements to reduce burden urged in call report modernization
Material improvements that can result in further regulatory burden relief for credit unions is recommended by NASCUS in its comment letter to NCUA on its proposal to modernize its call reports and credit union profiles.
While NASCUS said it generally supported the proposed changes (which included changes related to commercial and business lending, the Financial Accounting Standards Board's (FASB) accounting standard on current expected credit loss (CECL), risk-based capital and others), the association also recommended changes that would streamline entries made by credit unions, or clarified definitions.
NASCUS also recommended a minimum 18-month implementation period to give credit unions time to adjust their systems and familiarize themselves with the revised reports.
Specifically, NASCUS recommended:
Self-aggregating account codes: NCUA should automate the codes (that is, those that aggregate to equal a separate "total" field) so that the total is automatically populated based on submissions for the underlying fields.
CECL early adopter fields: NCUA should clarify whether the account codes and information collected for early CECL adopters will be the accounts codes and information collected when implementation becomes mandatory (which would help credit unions that are not early adopters to design their implementation to the call report).
Commercial/member business loans: NCUA should work with the states and NASCUS about the terminology used in this area, since, to date, seven states have NCUA-approved, state-specific member business lending rules that do not distinguish between "commercial loans" and "member business loans." The proposal is silent as to how state-chartered credit unions in those states should complete these account codes given that reporting state "member business loans" might over-report "commercial loans" as defined by NCUA. The agency should also: define the term "junior liens" used in the report; and clarify what sort of data on "junior liens" is being sought (such as in relation to "superior liens.")
Risk-based capital: Comprehensive instructions for each line item are needed for information in this area, as the level of detail "is new for the call report."
Form 5300 definitions: In addition to the "junior lien" definition, those for "MSBs" under "money transmitters," and for "loan amount" under "member business loan" (to clarify whether deferred costs are included), should be included.
"In addition to modernizing and harmonizing the Call Report and the Credit Union Profile, we encourage NCUA to review AIRES and other supervisory data collection in conjunction with the Call Report modernization to ensure the regulatory relief (balanced by supervisory need) in one area is not offset by increased burden in another," NASCUS added.
NASCUS comment letter: Call Report/Profile Content Modernization
SUMMARY OUTLINES IMPACT OF 'LOAN PARTICIPATION' LEGAL OPINION
A NASCUS summary of an NCUA legal opinion outlining how provisions of a loan participation transaction at a credit union must meet regulatory requirements throughout the life of the loan is posted to nascus.org; it is available to members only. On March 22, the agency posted the legal opinion which states that and each loan must be treated independently. In the letter, NCUA General Counsel Michael McKenna wrote that certain provisions of the agency's loan participation regulation outline the lifetime requirements for transactions. He pointed to Sec. 701.22(d) of the regulation which "emphasizes the need for adequate documentation and due diligence from before the time of purchase throughout the life of the loan."
NASCUS summary: NCUA legal opinion, loan participations (members only)
IN ADVANCE OF TESTIMONY, CFPB LEADER CALLS FOR CHANGE
Likely previewing his testimony next week before Senate and House committees, CFPB Acting Director Mick Mulvaney this week proposed sweeping changes to the role and governance of the consumer agency, including in its funding and instituting close oversight by the White House.
Mulvaney is scheduled to testify before the House Financial Services Committee (on April 11) and the Senate Banking Committee (the following day) to give the panels the semi-annual report on the agency. However, in the introduction to his written report unveiled this week, the CFPB acting director said he is requesting that Congress make four changes to the law establishing the bureau "to establish meaningful accountability" for the agency. Those changes include:
funding the agency through the congressional appropriations process (rather than from the Federal Reserve);
requiring legislative/congressional approval of major rules;
ensuring that the agency director answers to the president "in the exercise of executive authority;"
creating an independent inspector general for the agency.
"Per the statute, in the normal course the Bureau's Director simultaneously serves in three roles: as a one-man legislature empowered to write rules to bind parties in new ways; as an executive officer subject to limited control by the President; and as an appellate judge presiding over the Bureau's in-house court-like adjudications," Mulvaney wrote.
"By structuring the Bureau the way it has, Congress established an agency primed to ignore due process and abandon the rule of law in favor of bureaucratic fiat and administrative absolutism," he stated.
Semi-annual report of the Bureau of Consumer Financial Protection
11TH 'RFI' FROM CONSUMER AGENCY LOOKS AT FINANCIAL EDUCATION
Delivery of consumer financial education through online tools and other means makes up the 11th "request for information" (in a series of 12) issued this week by the CFPB in Acting Director Mulvaney's quest for "evidence" that the agency is fulfilling its statutory role. Specifically, the agency is looking for comments (among others) about how it can eliminate or minimize duplication of efforts performed by other entities. The RFI was issued with a 90-day comment period (and is expected to be published on April 9).
In the RFI, the bureau noted that the Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010 (Dodd-Frank) listed "conducting financial education programs" as one of six primary functions of the agency. Along those lines, the RFI notes, is that the legislation directs the agency to "develop and implement 'initiatives intended to educate and empower consumers to make better informed financial decisions.'"
Dodd-Frank also directs, the bureau states, that CFPB "develop and implement a strategy to improve consumers' financial literacy by, among other things, providing opportunities for consumers to access information and resources related to a range of financial topics including credit products, histories, and scores; savings, borrowing and other services found at mainstream financial institutions; preparing for major purchases such as education; debt reduction; improving the consumer's financial situation; the development of long-term savings strategies; and wealth-building."
The RFI seeks specific comments in three areas, related to its mission as required by the law, on how to:
Improve the bureau's existing programs and delivery mechanisms;
Better measure and evaluate the effectiveness of the bureau's financial education
work; and
Eliminate or minimize the duplication of the bureau's financial education work with that performed by other entities, including federal, state, and local agencies.
The last of the RFIs – which were introduced in late January — will be issued next week, the agency said, and will focus on consumer inquiries.
CFPB RFI No. 11: consumer financial education
SUMMARIES LOOK AT CFPB INFO REQUESTS ON ADOPTED, INHERITED REGS
Two new summaries of "requests for information" by the CFPB – on adopted and new regulations, as well as inherited regulations — have been posted by NASCUS. The summaries look at the eighth and ninth RFIs issued (respectively) by the agency last month. The first RFI focuses on the rules the CFPB has promulgated since the bureau's creation, and whether those should be amended or new rules issued. The second looks at the regulations the bureau inherited from other agencies, and whether the bureau should amend those regulations, or exercise the rulemaking authorities the agency inherited. Both summaries offer a concise view of the RFIs, including convenient access to additional information and important dates (including comments and due dates). NASCUS has posted summaries of nine of the 11 RFIs issued by the bureau to date, with more to follow.
NASCUS summary: CFPB RFI — Inherited Regulations and Inherited Rulemaking Authorities
NASCUS summary: CFPB RFI — Adopted Regulations and New Rulemaking Authorities
CREDIT REPORTING COMPLAINTS NO. 1 AT BUREAU IN 2017
Complaints about credit or consumer reporting made up nearly one-third (31%) of the 320,000 grievances received in 2017 by the CFPB — the most of one category received — according to a report issued by the agency this week. In its Consumer Response Annual Report for 2017, the bureau said the top five complaint areas were rounded out by complaints about: Debt collection (26% of all complaints), mortgages (12%), credit cards (8%), and checking or savings accounts (8%). As the leader in complaints for 2017, credit or consumer reporting supplanted debt collections, which led the list of top complaints in both 2016 and 2015 (30% and 31%, respectively), according to the report. In fact, complaints about debt collections have been the leader of those received by the consumer bureau since 2011, when the agency began accepting complaints. Over those years, of the more than 1.4 million complaints received, about 27%, have been about debt collections.
CFPB said in its report that debt collection, mortgage, and credit or consumer reporting complaints are the most-complained-about consumer financial products and services, noting that "complaints submitted to the Bureau about these products and services account for approximately 960,000 (68%)" of all the complaints it has received.
CFPB Consumer Response Annual Report for 2017
'ABOUT NASCUS' FREE WEBINAR OFFERED AT END OF MONTH
How to make NASCUS work for you is the focus of a live webinar April 30 from 2-3 p.m. ET featuring an overview of the benefits of membership. Learn about the NASCUS commitment to the industry and gain a better understanding of the association's unique role in the credit union system. On the agenda: advocacy and training and education agendas for 2018; how NASCUS facilitates access to all 45 state regulators (where state charters exist and who are also NASCUS members); and how members can participate in dialogue sessions with regulators to gain national perspective on regulatory and compliance issues — and much more!
NASCUS 101 Orientation/Onboarding Webinar Outline; April 30 2 p.m. ET
ON THE ROAD: In IN, MN and WI
Teachers Credit Union in South Bend, Ind., and the Minnesota Credit Union Network (MCUN) were both recent stops on the road for NASCUS President and CEO Lucy Ito as she travels the Midwest talking to credit unions and NASCUS partners. In her visits, Ito discusses current issues facing the state system; how credit unions, state associations and regulators can work to promote the safety and soundness of the system; and how to keep individual state charters up to date and competitive for credit unions in their respective states. In addition to meetings at Teachers CU in South Bend, IN, and at the Minnesota Credit Union Network in Minneapolis, Ito met with Brandon Riechers, CEO of Royal CU in WI; Amy Sink, CEO of Interra CU in IN; Financial Center First CU CEO Kevin Ryan in IN; Indiana CU League CEO John McKenzie; and Indiana Department of Financial Institutions Director Tom Fite.
BRIEFLY: L&R Committee talks FOM decision; analysis of FOM decision posted; educational sessions near; Filene survey
The NASCUS Legislative and Regulatory Committee met this week to discuss a variety of current topics, including last week's decision by a federal court overturning portions of the agency's new field of membership issues (and what that means for state-chartered credit unions) … along those lines, NASCUS this week posted an analysis (and summary) of the court's decision (members only), which points out the court's decision also leaves some important areas undecided … we have added two additional programs to our 2018 educational calendar: the NASCUS Mortgage Symposium, May 31 in Newton, Mass., and the Michigan "Industry Day," Oct. 16 in Ann Arbor; check out the links below for more details … NASCUS members may participate by April 13 in a survey on credit union boards conducted by the Filene Research Institute, in conjunction with the Fullbrook Board Effectiveness, on optimizing board composition, which gauges the skills, demographics and culture that make boards work best. Filene seeks to create tailored insights and tools for the credit union system to help boards optimize their composition, and ultimately their effectiveness. Results will be shared via a webinar.
NASCUS summary/analysis, ABA vs. NCUA FOM decision (members only)
NASCUS Mortgage Symposium, May 31 in Newton, Mass.
Michigan Industry Day Oct. 16 in Ann Arbor
Filene survey: board skills, demographics, culture
Information Contact:
Patrick Keefe, pkeefe@nascus.org
For more information about NASCUS publications, or to obtain permission to reprint a NASCUS publication, please contact NASCUS' Communications Department:
info@nascus.org
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It's unknown how long you might have to wait to vote.
Posted By: Sydney Martin
Across the country, record turnout is expected for the general election.
In Madison County, the probate judge says the plan for Tuesday has been nearly a year in the making.
Frank Barger, Madison County Probate Judge, said they used that time to establish the best ways to avoid problems at the polls. He said they've even added additional measures from previous elections to make sure everything goes smoothly.
"I've had several folks bring up the swollen ballot issue from 2018 when I was not managing the election. We've put several things in place. One thing specific to that election is we did not have the appropriate tech support in place to handle those issues," he said.
Barger said preventing ballots from swelling up was a major focus this year. It led to long lines at the polls 2 years ago when some ballots wouldn't feed into voting machines. He said he doesn't expect any issues like that this year, and his office made election day tech support a priority.
"For every piece of equipment we use for the election process in Madison County, we will have a representative on site that day if we need technical support related to a machine jamming, or something not functioning correctly," he said.
Barger also explained that they kept weather in mind when delivering ballots to polling precincts since humidity can cause an issue with any papers.
"We have to deliver election materials in a certain time-frame. If it's raining, that's an element we can't control, but we have looked at everything we can control, and that shouldn't be an issue on Tuesday," he said.
Barger said his office has done everything they can to make sure you're safe while casting your ballot.
"We have the PPE in place not only for the public, hand sanitizer, being able to provide masks, having an excessive number of ink pins, stylists for electronic equipment that we use. Putting all of that in place is certainly added a different element. We feel well prepared for it. We have been working for months to ensure we have all those things," he added.
Barger said he's asking everyone voting in person to be patient. He said his office is working to be as efficient as possible, but it's unclear how long you might have to wait to vote.
Madison County 2020 election information
2020 election information for Madison County
Madison County poll workers prepare for up to 40,000 absentee ballots
Absentee ballots in Madison County up by 100% compared to previous presidential elections

redpajama_set_name: RedPajamaCommonCrawl


One of the great pleasures of a sunny Sunday in Tokyo is a stroll around Ginza. The main road is closed off and small tables are set in the street. This offers a great spot for an afternoon of people watching after taking in some of the fine shops in this elite district of Tokyo. For pottery enthusiasts a stop by the Kuroda Toen Gallery is a must. The name Kuroda means "black rice field" and is the family name of one of the most influential ceramic galleries Japan has ever known.
Located at Ginza 7-8-6, it first opened its doors in 1935 under the supervision of the late Kuroda Ryoji. He was responsible for promoting many now famous potters and here is a photo of him and Kato Tokuro in front of the gallery for Kato's exhibition; Kuroda is on the right.
In addition to organizing countless exhibitions, Kuroda was also partly responsible for the yakimono boom in the 1960s and 1970s due to his numerous books published by Kogei Shuppan. These include East and West Japan books entitled Gendai no Togei (Contemporary Ceramics), Showa Togei Zukan (Showa Period Ceramic Encylopedia), and Gendai Chato Hyakka-shu (Contemporary Tea Pottery of One Hundred Potters), among others. These books introduced potters from all over Japan to an audience who now had money to spend on the pottery they so loved.
The gallery has since been renovated and it has a very art deco feel and quite small and narrow. It's now run by Kuroda Kazuya, who is also a prolific author and board member of the Japan Ceramic Society. His running series on chawan offers a detailed and amazing look at many neglected styles and potters, past and present. A few of the series have been consolidated in the book Chawan Kama-betsu Meikan. Actually, Kazuya is not in the gallery that often and day-to-day operations are managed by his son Yoshio.
The entrance to the gallery has the kanji "toh" (ceramics) printed on it quite appropriately. It's hard to miss.
If you look up you'll see a large English sign with "Ginza Ceramic Art Since 1935" written on it.
The doors open to a narrow aisle with two display areas on either side. There's usually a featured potter's work on display here, or if no one-man exhibition is on, a look at many varied works.
I happened to go on the opening day of a Karatsu potters exhibition so the place was a bit more crowded than usual.
Back behind the counter is a wall of guinomi (sake cups) where dozens of styles are offered.
In the glass cases directly behind that is the pricey works of past and current giants; pictured below (L to R) are pieces by Hamada, Kawai, and Fujimoto.
The second floor has another small neat room that shows works of the featured potter(s), in this case the Karatsu potters, or some of the treasures from the Kuroda collection.
It is quite an amazing collection at that. I'll never forget the fantastic Okabe Mineo Oribe guinomi that Yoshio showed me once, if only I had the two million yen, or was it three, asking price. Ryoji was a great fan and supporter of Rosanjin so the gallery is also quite strong in his works as well. Well, they have them all now that I think of it; Kato, Arakawa, Yagi, the list goes on and on.
There is another Kuroda Toen located in Shibuya which is totally independent from Ginza. It's operated by Kazuya's younger brother Kusaomi and is also a very influential gallery worth the trek to the other side of Tokyo. Click here for a review of Kuroda Toen in Shibuya.


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William Rodney Graham  (January 16, 1949 – October 22, 2022) was a Canadian visual artist and musician.  He was closely associated with the Vancouver School.

Early life
Graham was born in Abbotsford, British Columbia, on January 16, 1949.  He studied art history at the University of British Columbia and subsequently went to Simon Fraser University (SFU).  He intended to concentrate on writing and literature before taking a modern art course taught by Ian Wallace at SFU.

Work
Coming out of Vancouver's 1970s photoconceptual tradition, Graham's work is often informed by historical literary, musical, philosophical, and popular references. He was most often associated with other west coast Canadian artists, including Vikky Alexander, Jeff Wall, Stan Douglas, Roy Arden, and Ken Lum.  During the late 1970s, he played electric guitar in the band UJ3RK5 with fellow visual artists Wall on keyboards and Ian Wallace on electric bass, among others.  His wide-ranging and often genre-busting work frequently engaged with technologies of the past: literary, psychological, and musical texts, optical devices, and film as a historical medium.

Among his earliest works is Camera Obscura (1979; destroyed 1981) a site-specific work that consisted of a shed-sized optical device on his family's farm field near Abbotsford, British Columbia. Entering the shed, the observer was confronted with an inverted image of a solitary tree. Both prior to this (with Rome Ruins [1978]) and throughout the 1980s and 1990s, Graham employed the technique of the camera obscura in his work.

Beginning in the early 1980s, Graham took found texts as the basis for his bookworks – at once conceptual and material – inserting bookmarks with additional pages, inserting textual loops, or incorporating books into optical devices in works such as Dr. No* (1991), Lenz (1983), and Reading Machine for Lenz (1993) respectively.  Many of these were carried out with the esteemed Belgian publisher Yves Gevaert and gallerist Christine Burgin.  His extensive body of work related to Sigmund Freud (beginning in 1983) developed out of this text-based practice, though, later, found object books would be integrated unmodified into Donald Judd-like sculptures, for example The Basic Writings of Sigmund Freud (1987).

Until 1997, when he represented Canada at the Venice Biennale with the film loop Vexation Island, Graham was most well known for his series of photographs of Welsh oaks seen upside-down. For this project, he employed a photographer to take black and white negatives of majestic, isolated trees in the English countryside with a large-format camera. He then hung the pictures upside down, like camera obscura images. In 1998 Graham produced his definitive work on this theme, a series of seven monumental images of Welsh oaks printed on color paper to produce warm deep sepia and charcoal hues.

A postage stamp depicting Graham's photograph, Basement Camera Shop circa 1937 was issued on March 22, 2013, by Canada Post as part of their Canadian Photography series. The image is a recreation of a snapshot discovered by the artist at an antique store. Graham placed himself in the photograph as the owner standing at the counter, waiting for a customer.

Film
In 1994, Graham began a series of films and videos in which he himself appears as the principal character: Halcion Sleep (1994), Vexation Island (1997) (shown at Canadian pavilion of the 1997 Venice Biennale), How I Became a Ramblin' Man (1999), and The Phonokinetoscope (2002).  In The Phonokinetoscope Graham's engagement with the origins of cinema and its eventual demise surface. In this work, Graham takes up a prototype by Thomas Edison and puts forward an argument for the relation between sound and image in film.

In Vexation Island (1997), a shipwrecked sailor, played by Graham, wakes up on a tropical island only to be knocked unconscious by a falling coconut that he has succeeded in shaking out of a palm tree; after a while he reawakens, returns to the tree and the cycle repeats. Later, in Rheinmetall/Victoria 8 (2003), two increasingly obsolete technologies, the typewriter and film projector, face off against one another—with the latter projecting a film of the former.

The film Lobbing Potatoes at a Gong (1969) (2006), shot on 16mm and presented as a looped projection, fictitiously documents a 1969 performance strongly reminiscent of the Fluxus movement. The artist, played by Graham, is shown sitting on a chair in the setting of an alternative cultural institution, with an audience watching him trying to hit a gong with potatoes. All the potatoes that actually hit the gong were subsequently used to produce vodka in a small still. The bottle is displayed in a showcase, both as an end product and part of the work. As in many of Graham's films, the relatively simple plot is in stark contrast to the effort that went into the production, with the artist conducting extensive research and hiring a professional film crew.

Drawing and painting
In 2003, Graham turned to drawing and painting for the first time. Adopting a persona in a host of related photographic, installation, and painted works, The Gifted Amateur, November 10, 1962, 2007, indicates both continuing performative and art historical directions in his work.

Graham exhibited a series of film installations with Harun Farocki in 2009, titled "HF/RG," at the Jeu de Paume, Paris.

Exhibitions
Graham's solo exhibitions include the Vancouver Art Gallery (2012); a retrospective at MACBA, Barcelona (2010), travelling to Hamburger Kunsthalle and the Museum für Gegenwartskunst, Basel; Museum of Contemporary Art, Los Angeles (2004); Institute of Contemporary Art, Philadelphia (2005), Whitechapel Gallery, London (2002), and Hamburger Bahnhof Berlin (2001). The artist was included in documenta IX (1992), the Venice Biennale in 1997, the Whitney Biennial in 2006, and the Carnegie International in 2013.

Recognition
Graham represented Canada at the 47th Venice Biennale (1997) and among awards he has received the Gershon Iskowitz Prize, Toronto (2004), the Kurt Schwitters-Preis, Niedersächsische Sparkassenstiftung, Germany (2006), and the Audain Prize for lifetime achievement in visual arts, British Columbia (2011). In 2016, he was appointed an Officer of the Order of Canada for his contributions to Canadian contemporary visual arts.

Personal life
Graham lived in Vancouver and was married to the artist Shannon Oksanen. Though they had not divorced, she lived separately with her two children and their father. Together they owned Liberty Bakery in Vancouver.

Graham died on October 22, 2022, in Vancouver.  He was 73, and suffered from cancer in the year prior to his death.

See also
 Aerodynamic Forms in Space
 Spinning Chandelier

References

External Links
 Article at thecanadianencyclopedia.ca

1949 births
2022 deaths
Canadian photographers
Canadian contemporary artists
Artists from British Columbia
People from Abbotsford, British Columbia
University of British Columbia alumni
Canadian conceptual artists
Officers of the Order of Canada

redpajama_set_name: RedPajamaWikipedia


text:
Crime Diaries: Night Out (Spanish: Historia de un crimen: Colmenares), is a 2019 Colombian-Mexican Spanish-language crime web television miniseries starring Ernesto Campos, Carlos Carvajal and Camila Jurado. The plot is inspired by real-life events, and revolves around how after a Halloween party on October 31 in 2010, the student Luis Andrés Colmenares is found dead in a park in the north of Bogotá. The series recounts how two women close to Colmenares and an ex-boyfriend of one of them seems to be involved, and judicial process following the investigation.

It was ordered direct-to-series, and premiered on Netflix streaming on May 3, 2019.

Cast
 Ernesto Campos as Jorge Colmenares
 Carlos Carvajal as Tato
 Camila Jurado as Mireya
 Fabiana Medina as Oneida Escobar
 Laura Osma as Laura Moreno
 Juliana Velásquez as Jessy Quintero
 Carlos Vergara as Alonso Colmenares
 Enrique Carriazo as Luis Antonio González
 Julián Román as periodista Salazar
 Juan Pablo Urrego as Carlos Cárdenas
 Diana Wiswell as Claudia
 Simon Elias as Esqueleto
 Amparo Conde as Mamá Jessi Quintero
 Fabio Rubiano as Fernando Alvarado

Episodes

Release
Crime Diaries: Night Out was released on Netflix streaming on May 3, 2019.

References

External links

Colombian drama television series
Mexican drama television series
Spanish-language Netflix original programming
2019 web series debuts


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Woman shot outside Castleton bar on Sunday dies from injuries
Indianapolis Area Crime
by: Matt Christy
A scene photo from the shooting on Center Run.
INDIANAPOLIS — Police said the woman shot outside Epic Ultra Lounge in Castleton on Sunday morning has died as a result of her injuries.
According to the Indianapolis Metropolitan Police Department, the shooting occurred just after 3 a.m. Sunday in the 8200 block of Center Run Road near Castleton Square Mall.
The woman was originally transported to a hospital in critical condition as a result of her wounds but ended up succumbing to her injury and passing away on Tuesday.
IMPD originally identified the victim as male, but family members tell us the victim identifies as female. Family members have identified her as Ke'yahonna Stone.
The Marion County Coroner's Office will determine the exact manner and cause of the woman's death.
Police are asking for anyone who may have information about this shooting to contact Detective Michael Wright at the IMPD homicide office at (317) 327-3475 or email him at Michael.Wright@Indy.Gov.
Snow chances remain low this week in Indianapolis, just cold and dry
INDIANAPOLIS - After we picked up a whopping 0.3" of snow, bringing our total since November to 0.8", we have another week ahead with little to no chances. With no snow chances, our snow drought will continue at least into the weekend. But, it sure will feel like winter, even if there is no snow on the ground.
For the rest of today, temperatures will top off in the upper 20s and lower 30s with mostly cloudy skies. There are slick spots across central Indiana, so please, use caution on the roadways. Overnight lows will drop into the lower 30s.
NEW YORK (AP) — A dangerous winter storm was bringing significant snowfall, strong thunderstorms and blustery winds to the northeastern U.S. on a holiday Monday.
A foot (30 centimeters) of snow was forecast for parts of New England, New York state, Ohio and Pennsylvania through Tuesday morning, and more than 80,000 customers in the region were without power as of Monday morning.
National and World / 1 hour ago


Content Warning: This episode contains discussions of self-harm, violence, abuse, and suicide.
The answer to that question is revealed as we become more familiar with the novel's four central characters: Jude, Malcolm, JB, and Willem. Interest in Jude's tragic and mysterious life becomes the novel's focus, and readers find themselves stretched and pulled in a vortex of loss and unrelenting pain.
Our 35th reader and I discuss Yanagihara's representation of violence and trauma, the novel's sentimentality and sensationalism, claims that A Little Life is "the great gay novel", the importance of representation, and whether one can read the book a second time.


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Ron Paul Criticizes U.S. Policy in Georgia
posted by David T. Beito at 11:42 AM 0 comments
John McCain: "We need Joe Biden for secretary of state."
Yes, he really said it and it speaks volumes about both men. The choice of Joe Biden is a worrisome indication that it will be politics as usual if Obama wins. Biden is not only the ultimate Washington insider but has a longtime record as both a friend and leader of the war party. Here is what Justin Raimondo has to say:
Today he wails that he didn't know, that nobody knew the truth about Iraq's alleged "weapons of mass destruction," but it cannot be said that Biden was all that eager to discover the truth, either. As chairman of the Senate Foreign Relations committee in 2002, Biden was in a position to ensure that a real debate took place on the issue. Yet, in the hearings held by his committee, not a single antiwar "expert" was called: all were spear-carriers for the War Party....
Biden was chosen for the number-two spot because he is thought to strengthen the Obama campaign in the area of foreign policy, where the candidate is considered weakest. Biden is presented as a man of experience, and a foreign policy maven to boot. However, it is precisely in the realm of foreign policy that Biden falls far short. Biden supported the president's war policies, at least in terms of ends if not means...
Biden has been one of the War Party's most reliable servants, endorsing as "absolutely correct" then-President Clinton's attack on hapless Yugoslavia – like Iraq, another example of a war in which the "enemy" represented no danger to the U.S. and whose crimes were vastly overstated. This earned him the approbation of John McCain, who, on April 11, 1999, declared to Tim Russert on Meet the Press: "We need Joe Biden for secretary of state." An astounded Russert asked: "Is that an offer by President McCain?" McCain replied: "Absolutely!"
posted by David T. Beito at 12:01 PM 0 comments
Lyndon Johnson Told the Nation (Tom Paxton's Antiwar Song)
Robert Higgs on the "Ratchet Effect" and World War I
Here is an audio of Scott Horton's interview of Robert Higgs, senior fellow at the Independent Institute and author of Crisis and Leviathan: Critical Episodes in the Growth of American Government.
According to the description, Higgs discusses the legacy of Woodrow Wilson's Cheney, Edward Mandell House, House's rise to power and links to big money men, Philip Dru Administrator: A Story of Tomorrow – the blueprint for a fascist America written by House in 1910-11, how House took advantage of Wilson's narcissism to get America into World War I, the consequences of American intervention in that war, the concept of the "ratchet effect" of government expansion explained in Crisis and Leviathan, why most perceived governmental "failures" are really successes if you understand the intentions, the true character and beneficiaries of the American empire, the economics of the world's oil market and the buried truth that all of state power is rooted in fear.
Labels: Higgs, World War I
How the War in Georgia Started
For a break from the non-stop "Georgia as innocent victim" marathon at CNN and Fox, check out this story from the BBC:
The Bush administration appears to be trying to turn a failed military operation by Georgia into a successful diplomatic operation against Russia.
It is doing so by presenting the Russian actions as aggression and playing down the Georgian attack into South Ossetia on 7 August, which triggered the Russian operation.
Yet the evidence from South Ossetia about that attack indicates that it was extensive and damaging.
The BBC's Sarah Rainsford has reported: "Many Ossetians I met both in Tskhinvali and in the main refugee camp in Russia are furious about what has happened to their city.
"They are very clear who they blame: Georgia's President Mikhail Saakashvili, who sent troops to re-take control of this breakaway region."...
Human Rights Watch concluded after an on-the-ground inspection: "Witness accounts and the timing of the damage would point to Georgian fire accounting for much of the damage described [in Tskhinvali]."
Justin Raimondo of Antiwar.com on Russian T.V.
posted by David T. Beito at 6:50 PM 0 comments
Police Beating Demonstrators in Georgia's "Growing Democracy."
In a weak moment, I made the mistake of turning on Fox News today. A jingoistic Fox reporter asked Ralph Peters, an equally jingoistic guest, about the Georgia crisis.
Peters called for massive sanctions against Russia. The obliging reporter egged him on by volunteering that Georgia had a "growing democracy." Perhaps she missed this revealing footage from 2007 showing police in that country beating up demonstrators to enforce martial law.
A Query on Two Secessions: Kosovo and South Ossetia
Can anybody explain why the U.S. opposed violent anti-secessionism by Serbia in Kosovo but (apparently) now apparently supports violent anti-secessionism by Georgia in South Ossetia?
August 9, 1945, A Date that Will Live in Infamy
Economic Historian Robert Higgs has the following to say about Truman's dark legacy:
President Truman ordered this attack even though Japan was already effectively defeated. It possessed no capability to harm Americans in their home territory, and its surrender was only a matter of time, especially in light of the Soviet Union's declaration of war against Japan on August 9, four days after its unilateral abrogation of the Soviet-Japanese Neutrality Pact, and its initiation of military actions against Japanese forces in Manchuria. Japan, not yet a rich country, was militarily and economically exhausted from the wars in which it had been engaged since 1937. The Japanese government sought only reasonable terms, including retention of the emperor as the nation's supreme political authority.
Labels: Atomic Bomb, Nagasaki, Truman
Hurston and Paterson: Two Individualists Against the Atomic Bomb
Novelists Zora Neale Hurston and Isabel Paterson had much in common including opposition to the New Deal and a shared belief individualism. Both also opposed the dropping of the atomic bomb.
In 1946, Hurston, who later supported the presidential campaign of Robert A. Taft, wrote that she was "amazed at the complacency of Negro press and public" towards Truman's foreign policy actions.
According to Hurston, Truman "is a monster. I can think of him as nothing else but the BUTCHER of ASIA. Of his grin of triumph on giving the order to drop the Atom bombs on Japan. Of his maintaining troops in China who are shooting the starving Chinese for stealing a handful of food....Is it that we are so devoted to a 'good Massa' that we feel that we ought not to even protest such crimes? Have we no men among us? If we cannot stop it, we can at least let it be known that we are not deceived. We can make any party who condones it, let alone orders it, tremble for election time."
Carla Kaplan, ed., Zora Neale Hurston: A Life in Letters (New York: Doubleday, 2002), 546.
At about the same time, Paterson cited the atomic bomb as an example of Truman's use of science "to fry Japanese babies in atomic radiation." Their deaths did not even have practical value to Paterson, who had predicted an almost immediate surrender of the Japanese upon the landing of a U.S. invasion force. The only bright spot for her was that Truman compromised his demand of unconditional surrender by letting the Japanese to keep the emperor.
Stephen Cox, The Woman and the Dynamo: Isabel Paterson and the Idea of America (New Brunswick, N.J.: Transaction Publishers, 2004).
Labels: Atomic Bomb, Truman
McCain's Role in Creating the Anti-Iraq Anthrax Hysteria
The federal government now admits that it has no evidence that Iraq took part in the anthrax attacks shortly after 9-11. For this reason, it is worth remembering that only days after the attacks, John McCain, was already singling out Iraq as a likely suspect and using this to justify war. Apparently, he was relying on inside information (who provided it?) when he made this claim.
In making these statements, of course, McCain played a key role in creating the climate of fear that led many Americans to support the U.S. invasion of Iraq.
Labels: Anthrax, Iraq, McCain
Solzhenitsyn and "the absurd project to impose democracy all over the world."
In the last twenty years of his life, Alexander Solzhenitsyn increasingly challenged both American foreign policy and American conceptions of democracy. Sometimes he missed the mark but just as often he was right. No wonder his former conservative allies had largely abandoned him by the 1990s.
In 2005, for example, he declared that:
It [democracy] must not be forced [upon people] like a cap. Democracy can only grow upwards, like a plant. Democracy must begin at the local level, within the local self-government. Only then can it develop further....Solzhenitsyn slammed the US policy, saying that over ten years ago, the US "launched an absurd project to impose democracy all over the world." "The US has a strange idea of democracy - they first interfered with the Bosnian situation, bombed Yugoslavia, then Afghanistan, and then Iraq." "Who is next, perhaps, Iran?" the writer wonders. "The US must understand that democracy cannot be introduced by force, by the army," he said.
Seymour Hersh on Cheney's False Flag Proposal


text:
Delta Sigma Theta Pays Tribute To Soror, The Queen Of Soul
August 29, 2018 by ahouston
What began as a thin line swelled into a sea of sisterhood as hundreds of members of Delta Sigma Theta streamed into the rotunda of the Charles H. Wright Museum on Tuesday to pay tribute to the Queen of Soul, a member of the sorority.
The moving ceremony, known as the Omega Omega Service, is not usually open to non-sorority members. The rare exception was the latest testament to the life and legacy of Aretha Franklin, remembered by her sisters as a proud black woman who demanded respect and loved her community.
"She loved Delta and its ideals … she looked for the best in others. Her life was an inspiration," said U.S. House Rep. Brenda Lawrence, a member of the sorority who was elected the first black mayor of Southfield, Michigan, in 2001.
At least 1,000 Delta Sigma Thetas from across the country attended the service, which lasted nearly an hour and is traditionally performed for any member before her funeral. Standing in a semicircle surrounding Franklin's family, the women filed in for nearly 10 minutes wearing black dresses, pearl necklaces, and corsages of African violets, the sorority's official flower.
The traditional service saluted Franklin with words, scripture and songs.
Particularly emotional was the singing of the Delta Prayer, which filled the rotunda as Franklin's sisters serenaded her in unison.
Franklin was inducted as an honorary member of Delta Sigma Theta in 1992. The sorority is among the cultural institutions she loved, including the black church and historically black colleges.
Delta Sigma Theta was founded in 1913 at Howard University in Washington, D.C. Among its members are poet Nikki Giovanni, pioneering congresswoman Shirley Chisholm, entertainer Lena Horne, actresses Ruby Dee and Cicely Tyson and civil rights activist Dorothy Height.


We are currently recruiting for a Restaurant & Bar Team Leader to join us at the Alton Towers Resort, the UK's only attraction that specialises in making Britain happy!
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In the Republic of Ireland, the State body immediately responsible for the safeguarding of all children is TUSLA. On 1st January 2014 the Child and Family Agency became an independent legal entity. It is now THE dedicated State agency responsible for improving wellbeing and outcomes for children. While the word borrows from the Irish words 'tús' + 'lá', Tusla is a completely new word bringing together two Irish words to symbolise a completely new way of working in addressing the needs of children in the State.
In 2016, this document was published by the National Board for the Safeguarding of Children in the Catholic Church in Ireland. (Click here to View) The brothers and sisters of the Congregation of the Sacred Hearts of Jersus and Mary have signed up to the Catholic Church in Ireland's policy and therefore this document now stands as THE standard we strive to achieve at all times in our efforts to keep children safe in all areas of our ministry and daily life.
In October 2015 the Congregation of the Sacred Hearts submitted a report to the National Office for Safeguarding Children, on our work in implementing the recommendations of our SSCC Audit which was published in September 2015. The link below provides you with a copy of the submitted report.


text:
Q: Start same android last activity on relaunch after closing the app I am developing an app that is having function to upload images to instagram. So when i upload the image to instagram and press the home button,the app is closed and when i ma relaunching the app it is starting from the main[ splash screen] activity.
In that application i am having option to take images from gallery and the camera. So when i press the home button and relaunch the app it should start the activity where i can chose the images.
I have tried a lot. If anyone have the solution please help me out.

A: By default the last activity will be shown when the app is restarted. Unless you have added any 'no history flag' or:
 android:noHistory="true"

Set noHistory to false. ..

A: By default last activity will open when relaunch the app.But some device it will not happen.
I don't know the proper reason but may there is settings problem in that device.

redpajama_set_name: RedPajamaStackExchange


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text:
\section{Introduction}

Recently, a number of analysts \cite{B-M, B-V, M-M, M-M1, MOS}
have studied various generalized notions of derivations in the
context of Banach algebras. There are some applications in the
other fields of research \cite{H-L-S}. Such mappings have been
extensively studied in pure algebra; cf. \cite{A-R, BRE, HVA}. A
generalized concept of derivation is as follows.

\begin{definition}\label{maindef}
Suppose that $\mbox{\aj B}$ is an algebra, $\mbox{\aj A}$ is a subalgebra of
$\mbox{\aj B}$, $\mbox{\aj X}$ is a $\mbox{\aj B}$-bimodule, and $\varphi,\psi :\mbox{\aj A}
\to \mbox{\aj B}$ are mappings. A linear mapping $d:\mbox{\aj A} \to \mbox{\aj X}$ is a
\emph{$(\varphi,\psi)$-derivation} if
$$d(ab)=\varphi(a)d(b)+d(a)\psi(b)\quad (a,b\in \mbox{\aj A}).$$ By a
\emph{ $\varphi$-derivation} we mean a
$(\varphi,\varphi)$-derivation. Note that we do not have any extra
assumptions such as linearity or continuity on the mappings
$\varphi$ and $\psi$.
\end{definition}
The automatic continuity theory is the study of (algebraic)
conditions on a category, e.g. $C^*$-algebras, which guarantee
that every mapping belonging to a certain class, e.g.
derivations, is continuous. S. Sakai \cite{SAK} proved that every
derivation on a $C^*$-algebra is automatically continuous. This
is an affirmative answer to the conjecture made by I. Kaplansky
\cite{KAP}. J. R. Ringrose \cite{RIN} extended this result for
derivations from a $C^*$-algebra $\mbox{\aj A}$ to a Banach
$\mbox{\aj A}$-bimodule $\mbox{\aj X}$. B. E. Johnson and A. M. Sinclair
\cite{J-S} proved that every derivation on a semisimple Banach
algebra is automatically continuous. Automatic continuity of
module derivations on $JB^*$-algebras have been studied in
\cite{H-N}. The reader may find a collection of results
concerning these subjects in \cite{DAL2, SIN, VIL}.

M. Bre\v{s}ar and A. R. Villena \cite{B-V} proved that for an
inner automorphism $\varphi$, every $(id, \varphi)$-derivation on
a semisimple Banach algebra is continuous, where $id$ denotes the
identity mapping. In \cite{M-M}, it is shown that every
$(\varphi,\psi)$-derivation from a $C^*$-algebra $\mbox{\aj A}$ acting
on a Hilbert space $\mbox{\aj H}$ into $B(\mbox{\aj H})$ is automatically
continuous, if $\varphi$ and $\psi$ are continuous $*$-linear
mappings from $\mbox{\aj A}$ into $B(\mbox{\aj H})$.

This paper consists of five sections. We define the notion of a
$(\varphi,\psi)$-derivation in the first section and give some
examples in the second. In the third section, by using methods of
\cite{M-M}, we prove that if $\varphi$ is a multiplicative (not
necessarily linear) $*$-mapping from a $C^*$-algebra $\mbox{\aj A}$
acting on a Hilbert space $\mbox{\aj H}$ into $B(\mbox{\aj H})$, then every
$*$-$\varphi$-derivation $d: \mbox{\aj A} \to B(\mbox{\aj H})$ is automatically
continuous. In the fourth section, we show that for not
necessarily linear or continuous $*$-mappings $\varphi,
\psi:\mbox{\aj A} \to B(\mbox{\aj H})$ the continuity of a
$*$-$(\varphi,\psi)$-derivation $d: \mbox{\aj A} \to B(\mbox{\aj H})$ is
equivalent to the left $d$-continuity of $\varphi$ and the right
$d$-continuity of $\psi$. The mapping $\varphi$ (resp. $\psi$) is
called left (resp. right) $d$-continuous if
$\displaystyle{\lim_{x \to 0}} \big(\varphi(x)d(b)\big)=0$, for
all $b\in \mbox{\aj A}$ (resp. $\displaystyle{\lim_{x \to
0}}\big(d(b)\psi(x)\big)=0$, for all $b\in \mbox{\aj A}$). Obviously
these conditions happen whenever $\displaystyle{\lim_{x\to
0}}\varphi(x)=0=\displaystyle{\lim_{x\to 0}} \psi(x)$, in
particular whenever $\varphi$ and $\psi$ are bounded linear
mappings. Thus we extend the main results of \cite{M-M} to a
general framework. Furthermore, we prove that if $d$ is a
continuous $*$-$(\varphi,\psi)$-derivation, then we can replace
$\varphi$ and $\psi$ with mappings with `at most' zero separating
spaces. The last section is devoted to study the continuity of the
so-called generalized $*$-$(\varphi,\psi)$-derivations from
$\mbox{\aj A}$ into $B(\mbox{\aj H})$.

The reader is referred to \cite{DAL2} for undefined notations and
terminology.

\section{Examples}

In this section, let $\mbox{\aj B}$ be an algebra, let $\mbox{\aj A}$ be a
subalgebra of $\mbox{\aj B}$, and let $\mbox{\aj X}$ be a $\mbox{\aj B}$-bimodule. The
following are some examples concerning Definition \ref{maindef}.

\begin{example}
Every ordinary derivation $d: \mbox{\aj A} \to \mbox{\aj X}$ is an
$id$-derivation, where $id: \mbox{\aj A} \to \mbox{\aj A}$ is the identity
mapping.
\end{example}

\begin{example}
Every homomorphism $\rho :\mbox{\aj A} \to\mbox{\aj A}$ is a
$(\frac{\rho}{2},\frac{\rho}{2})$-derivation.\end{example}

\begin{example}Let
$\varphi,\psi:\mbox{\aj A}\to\mbox{\aj A}$ be homomorphisms, and let $x\in\mbox{\aj X}$
be a fixed element. Then the linear mapping $d_x:\mbox{\aj A}\to\mbox{\aj X}$
 defined by  $$d_x(a) :=\varphi(a)x - x\psi(a)
\qquad(a\in \mbox{\aj A}),$$ is a $(\varphi,\psi)$-derivation, which is
called an inner $(\varphi,\psi)$-derivation corresponding to $x$.
\end{example}

\begin{example}\label{example}
Assume that  $\gamma, \theta:\mathcal{C}[0,2]\to \mathcal{C}[0,2]$
are arbitrary mappings, where $\mathcal{C}[0,2]$ denotes the
$C^*$-algebra of all continuous complex valued functions on
$[0,2]$. Take $\lambda \in\mathbb{C}$ and fixed elements
$f_1,f_2$,  and $h_0$ in $\mathcal{C}[0,2]$, such that $$f_1
h_0=0=f_2 h_0.$$ For example, let us take \begin{eqnarray*}h_0
(t)&:=&(1-t)\chi_{_{[0,1]}}(t),\\
f_1(t)&:=&(t-1)\chi_{_{[1,2]}}(t),\\
f_2(t)&:=&(t-\frac{3}{2})\chi_{_{[\frac{3}{2},2]}}(t),\end{eqnarray*}
where $\chi_{_E}$ denotes the characteristic function of $E$.
Define $\varphi,\psi,d:\mathcal{C}[0,2]\to\mathcal{C}[0,2]$ by
\begin{eqnarray*}
\varphi(f)&:=&\lambda
f+\gamma(f)f_1,\\\psi(f)&:=&(1-\lambda)f+\theta(f)f_2,\\ d(f)&:=&f
h_0.
\end{eqnarray*}
Then $d$ is a $(\varphi,\psi)$-derivation, since
\begin{eqnarray*}
\varphi(f)d(g)+d(f)\psi(g)&=&\big(\lambda f+\gamma(f)f_1\big)(g
h_0)+(fh_0)\big((1-\lambda)g+\theta(f)f_2\big)\\ &= &\lambda
fgh_0 + \gamma(f)gf_1h_0 + (1-\lambda)fgh_0 + \theta(f)fh_0f_2\\
&= &fgh_0\\ &= &d(fg).
\end{eqnarray*}
Moreover, we may choose $\gamma$ and $\theta$ such that $\varphi$
and $\psi$ are neither linear nor continuous.
\end{example}

\section{multiplicative mappings}

In this section, we are going to show  how a multiplicative
property gives us the linearity. We start our work with some
elementary properties of $(\varphi,\psi)$-derivations.

\begin{lemma}\label{algebraic}
Let $\mbox{\aj B}$ be an algebra, let $\mbox{\aj A}$ be a subalgebra of
$\mbox{\aj B}$, and let $\mbox{\aj X}$ be a $\mbox{\aj B}$-bimodule. If $d:\mbox{\aj A} \to
\mbox{\aj X}$ is a $(\varphi,\psi)$-derivation,
then\\$(i)~~~\big(\varphi(ab)-\varphi(a)\varphi(b)\big)d(c)=d(a)\big(\psi(bc)-\psi(b)\psi(c)\big)$;\\
$(ii)~~~\big(\varphi(a+b)-\varphi(a)-\varphi(b)\big)d(c)=0=d(a)\big(\psi(b+c)-\psi(b)-\psi(c)\big)$;\\
$(iii)~~~\big(\varphi(\lambda
a)-\lambda\varphi(a)\big)d(b)=0=d(a)\big(\psi(\lambda
b)-\lambda(\psi(b)\big)$,\\for all $a,b,c\in\mbox{\aj A}$, and all
$\lambda \in \mathbb{C}$.
\end{lemma}

\begin{proof}
Let $a,b,c\in\mbox{\aj A}$ and $\lambda \in \mathbb{C}$. For the first
equation we have
\begin{eqnarray*}
0&=&d\big((ab)c\big)-d\big(a(bc)\big)\\&=&\varphi(ab)d(c)+d(ab)\psi(c)-\varphi(a)d(bc)-d(a)\psi(bc)\\
&=&\varphi(ab)d(c)+\big(\varphi(a)d(b)+d(a)\psi(b)\big)\psi(c)\\
&&-\varphi(a)\big(\varphi(b)d(c)+d(b)\psi(c)\big)-d(a)\psi(bc)\\
&=&\big(\varphi(ab)-\varphi(a)\varphi(b)\big)d(c)-d(a)\big(\psi(bc)-\psi(b)\psi(c)\big).
\end{eqnarray*}
Calculating $d\big((a+b)c\big)-d(bc)-d(ac)$ and $d\big(a(\lambda
b)\big)-\lambda d(ab)$, we obtain the other equations.
\end{proof}

We also need the following lemma. Recall that, for a Hilbert
space $\mbox{\aj H}$, a subset $Y$ of $B(\mbox{\aj H})$ is said to be
self-adjoint if $u^*\in Y$ for each $u\in Y$.

\begin{lemma}\label{L perp=}
Let $\mbox{\aj H}$ be a Hilbert space, and let $Y$ be a self-adjoint
subset of $B(\mbox{\aj H})$. Assume that
$\mbox{\aj L}_0=\displaystyle{\bigcup_{u\in Y}}u(\mbox{\aj H})$, and $\mbox{\aj L}$ is
the closed linear span of $\mbox{\aj L}_0$. If $\mbox{\aj K}=\mbox{\aj L}^\perp$, then
$\mbox{\aj K}=\displaystyle{\bigcap_{u\in Y}}\ker(u)$.
\end{lemma}

\begin{proof}
Let $k\in \mbox{\aj K}$. Then $\langle \ell,k\rangle=0$, for all
$\ell\in\mbox{\aj L}$. Since $Y$ is self-adjoint, $$\langle u(k),h\rangle
=\langle k,u^*(h)\rangle =0$$ for all $h\in \mbox{\aj H}$ and all $u\in
Y$. Therefore $u(k)=0$, for all $u\in Y$. Hence
$\mbox{\aj K}\subseteq\displaystyle{\bigcap_{u\in Y}}\ker(u)$. The
inverse inclusion can be proved similarly.
\end{proof}

Recall that a mapping $f:\mbox{\aj A} \to B(\mbox{\aj H})$ is called a
$*$-mapping, if $f(a^*)=f(a)^*$, for all $a\in \mbox{\aj A}$. If we
define $f^*:\mbox{\aj A} \to B(\mbox{\aj H})$, by $f^*(a)
:=\big(f(a^*)\big)^*$, then $f$ is a $*$-mapping if and only if
$f^*=f$.

\begin{theorem}\label{multipl}
Suppose that $\mbox{\aj A}$ is a $C^*$-algebra acting on a Hilbert space
$\mbox{\aj H}$. Let $\varphi:\mbox{\aj A}\to B(\mbox{\aj H})$ be a $*$-mapping and let
$d: \mbox{\aj A}\to B(\mbox{\aj H})$ be a $*$-$\varphi$-derivation. If $\varphi$
is multiplicative, i.e. $\varphi(ab) = \varphi(a)\varphi(b)
\quad(a, b \in \mbox{\aj A})$, then $d$ is continuous.
\end{theorem}

\begin{proof}
Set
\begin{eqnarray*}Y :=
\{\varphi(\lambda b)-\lambda\varphi(b)\mid \lambda \in {\mathbb
C}, b\in \mbox{\aj A}\}\cup \{\varphi(b+c)-\varphi(b)-\varphi(c)\mid
b,c\in \mbox{\aj A}\}.
\end{eqnarray*}
Since $\varphi$ is a $*$-mapping, $Y$ is a self-adjoint subset of
$B(\mbox{\aj H})$. Put
$$\mbox{\aj L}_0 :=\bigcup\{u(h)\mid u\in Y, h\in \mbox{\aj H}\}.$$ Let $\mbox{\aj L}$
be the closed linear span of $\mbox{\aj L}_0$, and let $\mbox{\aj K}
:=\mbox{\aj L}^\perp$. Then $\mbox{\aj H}=\mbox{\aj K}\oplus\mbox{\aj L}$, and by Lemma \ref{L
perp=}, we get\begin{eqnarray}\label{ker'}\mbox{\aj K}=\bigcap
\{\ker(u)\mid u\in Y\}.\end{eqnarray}Suppose that $p\in B(\mbox{\aj H})$
is the orthogonal projection of $\mbox{\aj H}$ onto $\mbox{\aj K}$, then by
(\ref{ker'}) we have
\begin{eqnarray}\label{scal'}\varphi(\lambda
b) p&=&\lambda\varphi(b) p,
\end{eqnarray}
\begin{eqnarray}\label{add'}\varphi(b+c) p =
\varphi(b) p+\varphi(c) p,
\end{eqnarray}
for all $b,c\in \mbox{\aj A}$, and all $\lambda\in \mathbb{C}$. Now we
claim that,
\begin{eqnarray}\label{commut'}
p\varphi(a)=\varphi(a)p\,,\,\,\,pd(a)=d(a)=d(a)p\qquad (a\in
\mbox{\aj A}).\end{eqnarray} To end this, note that by Lemma
\ref{algebraic}, we
have\begin{eqnarray*}&&d(a)\big(\varphi(\lambda b)
-\lambda\varphi(b)\big)=0,\\&&d(a)\big(\varphi(b+c)
-\varphi(b)-\varphi(c)\big)=0,\end{eqnarray*} for all $a, b, c \in
\mbox{\aj A}$, and all $\lambda\in \mathbb{C}$. Thus $d(a)\mbox{\aj L}=0$, and
so $d(a)(1-p)=0$, for all $a \in \mbox{\aj A}$. Since $d$ is a
$*$-mapping, it follows that $pd(a)=d(a)=d(a)p$, for all $a \in
\mbox{\aj A}$. Similarly, since $\varphi$ is multiplicative, we deduce
from (\ref{scal'}) and (\ref{add'}) that
\begin{eqnarray*}
\big(\varphi(\lambda b) -\lambda\varphi(b)\big)\varphi(a)
p&=&\varphi(\lambda b)\varphi(a) p-\lambda\varphi(b)\varphi(a)
p\\&=&\lambda\varphi(ba)p-\lambda\varphi(ba)p\\&=&0,
\end{eqnarray*}
and\begin{eqnarray*}\big(\varphi(b+c) -\varphi(b)
-\varphi(c)\big)\varphi(a)p&=&\varphi(b+c)\varphi(a)p
-\varphi(b)\varphi(a)p-\varphi(c)\varphi(a)p
\\&=&\varphi\big((b+c)a\big)p-\varphi(ba)p-\varphi(ca)p\\&=&0,\end{eqnarray*}for
all $a, b, c\in \mbox{\aj A}$, and all $\lambda\in \mathbb{C}$. Therefore
$\varphi(a)(\mbox{\aj K})\subseteq \mbox{\aj K} $. Since $\varphi$ is a
$*$-mapping, we conclude that $p\varphi(a)=\varphi(a)p$, for all
$a\in\mbox{\aj A}$. Now define the mapping $\Phi:\mbox{\aj A} \to B(\mbox{\aj H})$ by
$\Phi(a)=\varphi(a)p$. One can easily see that $\Phi$ is a
$*$-homomorphism, and so it is automatically continuous. Using
(\ref{commut'}), we obtain
\begin{eqnarray*}d(ab)&=&d(ab)p\\&=&\varphi(a)d(b)p+d(a)\varphi(b)p\\
&=&\varphi(a)pd(b)+d(a)\varphi(b)p\\&=&\Phi(a)d(b)+d(a)\Phi(b)
\qquad (a, b \in \mbox{\aj A}).
\end{eqnarray*}
Hence $d$ is a $\Phi$-derivation. We deduce from Theorem 3.7 of
\cite{M-M} that $d$ is continuous.
\end{proof}

\section{$d$-continuity}

We start this section with the following definition.
\begin{definition}
Suppose that $\mbox{\aj A}$ and $\mbox{\aj B}$ are two normed algebras, and
$T,S:\mbox{\aj A}\to \mbox{\aj B}$ are two mappings.\\(i) The mapping $T$ is
\emph{left (resp. right) $S$-continuous }if $\displaystyle{\lim_{x
\to 0}}\big(T(x)S(b)\big)=0$, for all $b\in \mbox{\aj A}$ (resp.
$\displaystyle{\lim_{x \to0}}\big(S(b)T(x)\big)=0$, for all $b\in
\mbox{\aj A}$). If $T$ is both left and right $S$-continuous, then it is
simply called $S$-continuous.\\(ii) As for linear mappings, the
\emph{separating space} of a mapping $T$ is defined to be
$$\mbox{\aj S}(T) :=\{b\in\mbox{\aj B}\mid\,\, \exists \{a_n\}\subseteq \mbox{\aj A},\,\, a_n\to
0,\,\, T(a_n)\to b\}.$$ We notice that for a nonlinear mapping
$T$, this set is not necessarily a linear subspace and it may even
be empty. Recall that if $\mbox{\aj A}$ and $\mbox{\aj B}$ are complete spaces
and $T$ is linear, then the closed graph theorem implies that $T$
is continuous if and only if $\mbox{\aj S}(T)=\{0\}$.
\end{definition}

If in Example \ref{example} we consider $\gamma$ and $\theta$ to
be $*$-mappings, then the continuity of $d$ together with
Corollary \ref{coro4.3} below imply that $\varphi$ and $\psi$ are
$d$-continuous mappings.

\begin{lemma}\label{separating}
Let $\mbox{\aj A}$ be a normed algebra, let $\mbox{\aj X}$ be a normed
$\mbox{\aj A}$-bimodule, and let $d:\mbox{\aj A} \to \mbox{\aj X}$ be a
$(\varphi,\psi)$-derivation for two mappings $\varphi,\psi
:\mbox{\aj A}\to \mbox{\aj A}$. If $\varphi$ and $\psi$ are left and right
$d$-continuous mappings, respectively,
then$$a\big(\psi(bc)-\psi(b)\psi(c)\big)=0=\big(\varphi(bc)-\varphi(b)\varphi(c)\big)a\,,$$for
all $b,c\in\mbox{\aj A}$ and all $a\in \mbox{\aj S}(d)$.
\end{lemma}

\begin{proof}Suppose that $a\in
\mbox{\aj S}(d)$. Then $a=\lim_{n\to \infty}d(a_n)$ for some sequence
$\{a_n\}$ converging to zero in $\mbox{\aj A}$. By Lemma \ref{algebraic}
$(i)$, we have
\begin{eqnarray*}a\big(\psi(bc)-\psi(b)\psi(c)\big)
&=&\lim_{n\to\infty}d(a_n)\big(\psi(bc)-\psi(b)\psi(c)\big)\\
&=&\lim_{n\to\infty}\big(\varphi(a_nb)-\varphi(a_n)\varphi(b)\big)d(c)
\\&=&\lim_{n\to\infty}\varphi(a_n
b)d(c)\\&&-\lim_{n\to
\infty}\varphi(a_n)d(bc)+\lim_{n\to\infty}\varphi(a_n)d(b)\psi(c)\\&=&0
\qquad (b,c\in\mbox{\aj A}),
\end{eqnarray*}
since $\varphi$ is left $d$-continuous.
\end{proof}

In the rest of this section, we assume that $\mbox{\aj A}$ is a
$C^*$-subalgebra of $B(\mbox{\aj H})$, the $C^*$-algebra of all bounded
linear operators on a Hilbert space $\mbox{\aj H}$. Also $\varphi, \psi$,
and $d$ are mappings from $\mbox{\aj A}$ into $B(\mbox{\aj H})$. Removing the
assumption `linearity' and weakening the assumption `continuity'
on $\varphi$ and $\psi$, we extend the main result of \cite{M-M}
as follows.

\begin{theorem}\label{4.1.}
Let $\varphi$ be a $*$-mapping and let $d$ be a
$*$-$\varphi$-derivation. If $\varphi$ is left $d$-continuous,
then $d$ is continuous. Conversely, if $d$ is continuous then
$\varphi$ is left $d$-continuous.
\end{theorem}

\begin{proof}
Set
\begin{eqnarray*}
Y :=\{\varphi(bc)-\varphi(b)\varphi(c)\mid b,c\in\mbox{\aj A}\}.
\end{eqnarray*} Since $\varphi$ is a $*$-mapping, $Y$ is a self-adjoint subset of $B(\mbox{\aj H})$. Put
$$\mbox{\aj L}_0
:=\bigcup\{u(h)\mid u\in Y, h\in \mbox{\aj H}\}.$$ Let $\mbox{\aj L}$ be the
closed linear span of $\mbox{\aj L}_0$, and let $\mbox{\aj K} :=\mbox{\aj L}^\perp$.
Then $\mbox{\aj H}=\mbox{\aj K}\oplus\mbox{\aj L}$, and by Lemma \ref{L perp=}, we
have\begin{eqnarray}\label{ker}\mbox{\aj K}=\bigcap \{\ker(u)\mid u\in
Y\}.\end{eqnarray}Suppose that $p\in B(\mbox{\aj H})$ is the orthogonal
projection of $\mbox{\aj H}$ onto $\mbox{\aj K}$, then by (\ref{ker}), we
have\begin{eqnarray}\label{prod}\varphi(bc) p =
\varphi(b)\varphi(c)p,\end{eqnarray}for all $b,c\in \mbox{\aj A}$. We
 claim that,
\begin{eqnarray}\label{commut}
p\varphi(a)=\varphi(a)p\,,\,\,\,pd(a)=d(a) p\qquad (a\in \mbox{\aj A}).
\end{eqnarray}
To prove this, note that by Lemma \ref{algebraic}, and
(\ref{prod}), we have
\begin{eqnarray*}\big(\varphi(bc)
-\varphi(b)\varphi(c)\big)d(a)p=d(b)\big(\varphi(ca)-\varphi(c)\varphi(a)\big)p=0,
\end{eqnarray*}
for all $a, b, c \in\mbox{\aj A}$. Thus $ud(a)p=0$, for all $a\in\mbox{\aj A}$,
and all $u\in Y$. So $$ud(a)(\mbox{\aj K})=u d(a)p(\mbox{\aj H})=\{0\}.$$ This
means that $d(a)(\mbox{\aj K})$ is contained  in the kernel of each $u$
in $Y$. So by (\ref{ker}), $d(a)(\mbox{\aj K})\subseteq \mbox{\aj K}$. Since
$d$ is a $*$-mapping, it follows that $pd(a)=d(a)p$. Similarly,
using (\ref{prod}), we get
\begin{eqnarray*}\big(\varphi(bc)
-\varphi(b)\varphi(c)\big)\varphi(a) p&=&\varphi(bc)\varphi(a)
p-\varphi(b)\varphi(c)\varphi(a)p\\&=&\varphi(bca) p-\varphi(bca)
p\\&=&0 \qquad (a, b, c\in \mbox{\aj A}).
\end{eqnarray*}
 Therefore $\varphi(a)(\mbox{\aj K})=\varphi(a)p(\mbox{\aj H})\subseteq
\mbox{\aj K}$. Since $\varphi$ is a $*$-mapping we conclude that
$p\varphi(a)=\varphi(a)p$, for all $a\in \mbox{\aj A}$. Now define the
mappings $\Phi, D:\mbox{\aj A} \to B(\mbox{\aj H})$ by $\Phi(a) :=\varphi(a)p$,
and $D(a) :=d(a)p$. We show that $\Phi$ is a multiplicative
$*$-mapping and $D$ is a $*$-$\Phi$-derivation. Clearly
(\ref{prod}) implies that $\Phi$ is multiplicative, and by
(\ref{commut}) we have
$$\big(\Phi(a)\big)^*=\big(\varphi(a) p\big)^*=p^*
\big(\varphi(a)\big)^*=p \varphi(a^*)=\Phi(a^*)\qquad(a\in
\mbox{\aj A}).$$ Thus $\Phi$ is a multiplicative $*$-mapping. Now for
$a, b \in \mbox{\aj A}$,
\begin{eqnarray*}
D(ab)&=&d(ab)p\\&=&\varphi(a)d(b)p+d(a)\varphi(b)p\\
&=&\varphi(a)pd(b)p+d(a)p\varphi(b)p\\&=&\Phi(a)D(b)+D(a)\Phi(b).
\end{eqnarray*}
Thus $D$ is a $*$-$\Phi$-derivation, and it is continuous by
Theorem \ref{multipl}. Now, we show that $\mbox{\aj S}(d)=\{0\}$. Let $a
\in \mbox{\aj S}(d)$, then there exists a sequence $\{a_n\}$ converging
to $0$ in $\mbox{\aj A}$ such that $d(a_n)\to a$ as $n \to \infty$. Take
$h=k+\ell\in\mbox{\aj K}\oplus \mbox{\aj L}=\mbox{\aj H}$. By Lemma \ref{separating},
and by the fact that each $a\in \mbox{\aj S}(d)$ is a bounded operator on
$\mbox{\aj H}$, and that $\ell\in \mbox{\aj L}$ is in the closed linear span of
elements of the form
$\big(\varphi(bc)-\varphi(b)\varphi(c)\big)h$, where $b,
c\in\mbox{\aj A}, h\in \mbox{\aj H}$, we have $a(\ell)=0$. It follows from
continuity of $D$ that
$$a(k)=a\big(p(h)\big)=\lim_{n\to\infty}d(a_n)\big(p(h)\big)=\lim_{n\to
\infty}D(a_n)(h)=0.$$ Thus $a(h)=a(k)+a(\ell)=0$, and so $d$ is
continuous.

Conversely, let $d$ be a continuous $\varphi$-derivation. Then
$$\lim_{x\to 0}\varphi(x)d(b)=\lim_{x\to
0}d(xb)-\lim_{x\to0}d(x)\varphi(b)=0 \quad(b\in
\mbox{\aj A}).$$\end{proof}

\begin{theorem}\label{4.2.}
Every $\varphi$-derivation $d$ is automatically continuous,
provided that $\varphi$ is $d$-continuous, and at least one of
$\varphi$ or $d$ is a $*$-mapping.
\end{theorem}

\begin{proof}
Let $d: \mbox{\aj A} \to B(\mbox{\aj H})$ be a $\varphi$-derivation. Then
clearly $d^*$ is a $\varphi^*$-derivation. Set
$$\varphi_1 :=\frac{1}{2}(\varphi+\varphi^*),\quad \varphi_2 :=\frac{1}{2{\bf i}}(\varphi-\varphi^*
),\quad d_1 :=\frac{1}{2}(d+d^*),\quad d_2 :=\frac{1}{2{\bf
i}}(d-d^*).$$ Obviously these are $*$-mappings,
$\varphi=\varphi_1+ {\bf i}\varphi_2$, $d=d_1+ {\bf i}d_2$, and
$\varphi_k$ is $d_j$-continuous for $1 \leq k, j \leq 2$. A
straightforward calculation shows that if $\varphi$ is a
$*$-mapping then $\varphi_1=\varphi=\varphi_2$, and $d_1 , d_2$
are $\varphi$-derivations. Similarly, if $d$ is a $*$-mapping,
then $d_1=d=d_2$ and $d$ is a $\varphi_j$-derivation for $j=1, 2$.
Since $\varphi$ or $d$ is a $*$-mapping, then $\varphi_k$ is a
$*$-mapping and $d_j$ is a $*$-$\varphi_k$-derivation for $1 \leq
k, j \leq 2$. By Theorem \ref{4.1.}, the $d_j$'s are continuous,
and so $d=d_1+{\bf i}d_2$ is also continuous.
\end{proof}

\begin{corollary}\label{coro4.3}
Let $\varphi$ and $\psi$ be $*$-mappings and let $d$ be a
$*$-$(\varphi,\psi)$-derivation. Then $d$ is automatically
continuous if and only if $\varphi$ and $\psi$ are left and right
$d$-continuous, respectively.
\end{corollary}

\begin{proof}
Suppose that $\varphi$ and $\psi$ are left and right
$d$-continuous, respectively. Since $d, \varphi$, and $\psi$ are
$*$-mappings, then both $\varphi$ and $\psi$ are $d$-continuous.
Hence $\frac{\varphi+\psi}{2}$ is also $d$-continuous.
We have \begin{eqnarray*}2d(ab)&=&d(ab)+d^*(ab)\\
&=&\varphi(a)d(b)+d(a)\psi(b)+\big(\varphi(b^*)d(a^*)+d(b^*)\psi(a^*)\big)^*\\
&=&\varphi(a)d(b)+d(a)\psi(b)+\psi(a)d(b)+d(a)\varphi(b)\\
&=&(\varphi+\psi)(a)d(b)+d(a)(\varphi+\psi)(b) \qquad (a,
b\in\mbox{\aj A}).
\end{eqnarray*}
Thus $d$ is a $*$-$\frac{\varphi+\psi}{2}$-derivation. It follows
from Theorem \ref{4.2.} that $d$ is continuous.

Conversely if $d$ is a continuous $(\varphi,\psi)$-derivation,
then
$$\lim_{x\to 0}\varphi(x)d(b)=\lim_{x\to 0}d(xb)-\lim_{x\to
0}d(x)\psi(b)=0 \quad(b\in\mbox{\aj A}),$$and $$\lim_{x\to
0}d(b)\psi(x)=\lim_{x\to0}d(bx)-\lim_{x\to 0}\varphi(b)d(x)=0
\quad(b\in \mbox{\aj A}).$$ So $\varphi$ and $\psi$ are left and right
$d$-continuous, respectively.
\end{proof}

\begin{lemma}
\label{phi(0)=0} Let $d$ be a $(\varphi,\psi)$-derivation. Then
there are two mappings $\Phi$ and $\Psi$ with $\Phi(0) = 0 =
\Psi(0)$ such that $d$ is a $(\Phi,\Psi)$-derivation.
\end{lemma}

\begin{proof}
Define $\Phi$ and $\Psi$ by
\begin{eqnarray*}\Phi(a):=\varphi(a)-\varphi(0) ,\\
\Psi(a):=\psi(a)-\psi(0), \end{eqnarray*} for all $a \in \mbox{\aj A}$.
We
have\begin{eqnarray*}&&0=d(0)=d(a\cdot0)=\varphi(a)d(0)+d(a)\psi(0)=d(a)\psi(0)
\qquad (a \in \mbox{\aj A}),\\&&0=d(0)=d(0\cdot
a)=\varphi(0)d(a)+d(0)\psi(a)=\varphi(0)d(a) \qquad (a \in
\mbox{\aj A}).\end{eqnarray*} Thus\begin{eqnarray*}
\Phi(a)d(b)+d(a)\Psi(b)=\varphi(a)d(b)+d(a)\psi(b)= d(ab) \qquad
(a,b \in \mbox{\aj A}).
\end{eqnarray*}Hence $d$ is a
$(\Phi,\Psi)$-derivation.\end{proof}

\begin{corollary}\label{coro4.4}If
$*$-mappings $\varphi$ and $\psi$ are continuous at zero, then
every $*$-$(\varphi,\psi)$-derivation $d$ is automatically
continuous.
\end{corollary}

\begin{proof}Apply
Lemma \ref{phi(0)=0} and Corollary \ref{coro4.3}.
\end{proof}

Clearly the assumption of Corollary \ref{coro4.4} comes true
whenever $\varphi$ and $\psi$ are linear and bounded. The next
theorem states that when we deal with a continuous
$*$-$(\varphi,\psi)$-derivation, we may assume that $\varphi$ and
$\psi$ have `at most' zero separating spaces.

\begin{theorem}
Let $\varphi$ and $\psi$ be $*$-mappings. If $d$ is a continuous
$*$-$(\varphi,\psi)$-derivation, then there are $*$-mappings
$\varphi^{'}$ and $ \psi^{'}$ from $\mbox{\aj A}$ into $ B(\mbox{\aj H})$ with
`at most' zero separating spaces such that $d$ is a
$*$-$(\varphi^{'},\psi^{'})$-derivation.
\end{theorem}

\begin{proof}
Set\begin{eqnarray*}Y&:=&\{d(a)\mid
a\in \mbox{\aj A}\},\\
\mbox{\aj L}_0& :=&\cup\{d(a)h\mid a\in \mbox{\aj A}, h\in \mbox{\aj H}
\}.\end{eqnarray*} Let $\mbox{\aj L}$  be the closed linear span of
$\mbox{\aj L}_{0}$ in $\mbox{\aj H}$, and let $\mbox{\aj K} :=\mbox{\aj L}^\perp$.  Suppose
that $p \in B(\mbox{\aj H})$ is the orthogonal projection of $\mbox{\aj H}$ onto
$\mbox{\aj L}$. It follows from continuity of operators $d(a)$ that
$d(a)(\mbox{\aj L})\subseteq \mbox{\aj L} \quad (a\in \mbox{\aj A})$, and so
$$pd(a)=d(a)p\qquad (a\in \mbox{\aj A}),$$ and
$$p\varphi(a)=\varphi(a)p, \qquad p~\psi(a)=\psi(a)p \qquad
(a\in \mbox{\aj A}).$$ For a typical element $\ell=d(b)h$ of $\mbox{\aj L}_0$,
we have
\begin{eqnarray*}
\varphi(a)\ell&=&\varphi(a)d(b)h\\&=&d(ab)h-d(a)\psi(b)h\in \mbox{\aj L},
\end{eqnarray*}
thus $\varphi(a)(\mbox{\aj L}_0)\subseteq \mbox{\aj L}$. Hence
$\varphi(a)(\mbox{\aj L})\subseteq \mbox{\aj L}$.\\ The same argument shows that
$\psi(a)(\mbox{\aj L})\subseteq\mbox{\aj L}$. Now we define $\varphi^{'}$ and $
\psi^{'}$ from $\mbox{\aj A}$ into $ B(\mbox{\aj H})$ by $\varphi^{'}(a)
:=\varphi(a)p \quad (a\in \mbox{\aj A})$, and $\psi^{'}(a) :=\psi(a)p
\quad (a\in \mbox{\aj A})$. Clearly $\varphi^{'}$ and $ \psi^{'}$ are
$*$-mappings. Furthermore, $d$ is a
$*$-$(\varphi^{'},\psi^{'})$-derivation. In fact for all
$a,b\in\mbox{\aj A}$, and $h\in \mbox{\aj H}$, we
have\begin{eqnarray*}d(ab)h&=&\varphi(a)d(b)h+d(a)\psi(b)h\\
&=&\varphi(a)p d(b)h+p
d(a)\psi(b)h\\&=&\varphi^{'}(a)d(b)h+d(a)\psi^{'}(b)h \,,
\end{eqnarray*}
since $p$ commutes with $d(a), \varphi(a)$, and $\psi(a)$. Suppose
that $\mbox{\aj S}(\varphi^{'}) \neq \emptyset$ and
$a\in\mbox{\aj S}(\varphi^{'})$. If
$a=\displaystyle{\lim_{n\to\infty}}\varphi^{'}(a_n)$ for some
sequence $\{a_n\}$ in $\mbox{\aj A}$ converging to zero, then
\begin{eqnarray*}a(k)&=&\lim_{n\to
\infty}\varphi^{'}(a_n)k\\&=&\lim_{n\to\infty}\varphi(a_n)pk\\&=&\lim_{n\to
\infty}\varphi(a_n)0\\&=&0 \qquad (k\in \mbox{\aj K}).\end{eqnarray*} Let
$\ell_0=d(b)h\in \mbox{\aj L}_0$, where $b \in \mbox{\aj A}$ and $h \in \mbox{\aj H}$.
Then
\begin{eqnarray*}
a(\ell_0)&=&\lim_{n\to\infty}\varphi^{'}(a_n)d(b)h\\&=&\lim_{n\to
\infty}d(a_nb)h-\lim_{n\to
\infty}d(a_n)\psi(b)h\\&=&0,\end{eqnarray*} and by continuity of
operator $a$, we get $a(\ell)=0 \quad (l\in\mbox{\aj L})$, and hence
$a=0$. Similarly the separating space of $\psi^{'}$ is empty or
$\{0\}$.\end{proof}

\section{generalized $(\varphi,\psi)$-derivations}

In this section, we study the continuity of generalized
$(\varphi,\psi)$-derivations.

\begin{definition}
Suppose that $\mbox{\aj B}$ is an algebra, $\mbox{\aj A}$ is a subalgebra of
$\mbox{\aj B}$, $\mbox{\aj X}$ is a $\mbox{\aj B}$-bimodule, $\varphi,\psi :\mbox{\aj B} \to
\mbox{\aj B}$ are mappings, and $d:\mbox{\aj A} \to\mbox{\aj X}$ is a
$(\varphi,\psi)$-derivation. A linear mapping $\delta:\mbox{\aj A} \to
\mbox{\aj X}$ is a \emph{generalized $(\varphi,\psi)$-derivation}
corresponding to $d$
if$$\delta(ab)=\varphi(a)d(b)+\delta(a)\psi(b)\quad (a,b\in
\mbox{\aj A}).$$\end{definition}

\begin{proposition}\label{generalized}Suppose
that $\mbox{\aj A}$ is a $C^*$-algebra acting on a Hilbert space
$\mbox{\aj H}$. A generalized $*$-$(\varphi,\psi)$-derivation
$\delta:\mbox{\aj A}\to B(\mbox{\aj H})$ corresponding to the
$(\varphi,\psi)$-derivation $d$ is automatically continuous
provided that $\varphi: \mbox{\aj A}\to B(\mbox{\aj H})$ is a left
$d$-continuous $*$-mapping, and $\psi:\mbox{\aj A}\to B(\mbox{\aj H})$ is both
a right $d$-continuous and a $\delta$-continuous
$*$-mapping.\end{proposition}

\begin{proof}
Suppose that $\{a_n\}$ is a sequence in $\mbox{\aj A}$, and $a_n\to 0$ as
$n \to\infty$. By the Cohen factorization theorem, there exist a
sequence $\{b_n\}$ in $\mbox{\aj A}$, and an element $c\in \mbox{\aj A}$ such
that $a_n =cb_n\quad $, for all $n\in \mathbb{N}$, and $b_n\to 0$
as $n \to \infty$. By Corollary \ref{coro4.3}, $d$ is continuous,
so $d(a_n)=d(cb_n)\to 0$ as $n \to \infty$. A straightforward
computation shows that$$(\delta-d)(xy)=(\delta-d)(x)\psi(y)\qquad
(x, y\in
\mbox{\aj A}).$$Thus\begin{eqnarray*}\delta(a_n)&=&(\delta-d)(a_n)+d(a_n)\\&=&(\delta-d)(c)\psi(b_n)+d(a_n),
\end{eqnarray*}
that converges to zero as $n \to \infty$, since $\psi$ is
right$(\delta-d)$-continuous.
\end{proof}

\begin{corollary}
Let $\mbox{\aj A}$ be a $C^*$-algebra acting on a Hilbert space $\mbox{\aj H}$.
Suppose that $\varphi, \psi:\mbox{\aj A}\to B(\mbox{\aj H})$ are continuous at
zero. Then every generalized $*$-$(\varphi,\psi)$-derivation
$d:\mbox{\aj A}\to B(\mbox{\aj H})$ is automatically continuous.
\end{corollary}

\begin{proof}
Using the same argument as in the proof of Lemma \ref{phi(0)=0},
we may assume that $\varphi(0)=0=\psi(0)$. Thus $\varphi$ and
$\psi$ are $S$-continuous for each mapping $S$. Now the result is
obtained from Theorem \ref{generalized}.
\end{proof}

redpajama_set_name: RedPajamaArXiv


We have subconscious thoughts all day long; a lot of this subconscious thinking is what we call "self-talk." The question is, are we actually aware of the impact these internal conversations have on us?
Thoughts are constant. We think about what we will eat, what we will wear, and how we will represent ourselves to others. We also operate a majority of our time on auto-pilot, going to and from work, leaning on our routines, and checking off our to do lists without really taking time to be present in our own mind or aware of the energy we give out. For example, the energy you give to others can often be a reflection of the things you are telling yourself. What does that energy look like? Is there any energy at all?
I am not saying we have to always be positive, bubbly, and on our "A-game" when around other people, but what I am alluding to is this: It's not our thoughts that determine who we are, it's what we do with those thoughts that matter.
As Paul Tripp writes, "no one is more influential in your life than you are, because no one talks to you more than you do." Learning how to recognize self-talk can change the way you respond to your own negative thoughts, interact with others, and allow you to live a more fulfilling life.
When you are aware of the things you tell yourself and the perception you have of yourself, it can help you become more mindful of those thoughts that are more negative than positive. This self-awareness is empowering and it's worth spending time to figure out what makes you unique.
Identify positive traits about you. Write out a list that identifies your values, your character traits, and your passions. It can also be helpful to take a strengths or personality test as you learn more about who you are.
Positivity matters. Spend intentional time thinking about yourself in a positive way and the good things in your life that have happened. What action or thought have you had this past week that has been positive or helpful to someone else?
Experience something new. Make a list of new hobbies or skills you want to learn. Challenge yourself to try something new - something that may bring you a fresh perspective or give you more energy.
Get feedback. Ask someone you trust to name positive things about you, and have them write it out and send those words to you. It can be very helpful to read what other people think about you.
Your future self matters too. Focus on who you want to be known as, not who you are not. It can be helpful to identify the challenges you have overcome, and who has helped you along the way as you think about how you want others to see you both now and in the future.
Thinking through these 5 steps can bring more awareness to the way you speak to yourself and the thoughts you have about who you are. It can also provide a way for you to identify any negative messages you have been telling yourself throughout the years, and create new positive ways to respond to those messages.
The hard work comes with taking the time to understand more about yourself and to protect the space to process who you are and where you are headed. Helpful tip: Block out time in your calendar to work through these 5 steps. If this feels like a challenge to do on your own, don't hesitate to contact us at Novo Life Counseling, and one of our mental health counselors can guide you through this process.


text:
Cool-Headed Service: Delta on a 767-400ER in Economy From San Francisco to New York
Brendan Dorsey
Brendan Dorsey is an Associate News Editor at TPG who covers nearly everything for TPG including aviation, credit cards, points, miles, ride-hailing services and more. He previously worked for TIME.
[tpg_rating tpg-rating-score="76" ground-experience="7" cabin-seat="19" amens-ife="10" food-bev="19" service="21" pros="Excellent communication between crew and passengers, complimentary meal" cons="The hard product is clearly showing its age" /]
Transcontinental routes have become a big money maker for US airlines, especially since they're so premium cabin-heavy. I'm one of those flyers who contributes to that, since I fly back and forth between New York and California about five times a year.
I normally fly Alaska Airlines between the two coasts and hold MVP elite status, but I was assigned to review both American Airlines' A321T on the outbound and Delta's 767 coming back to New York. I was excited to experience the elevated service I had read about and compare it to my beloved Alaska.
Since we booked this San Francisco (SFO)-New York-JFK flight less than two weeks before departure, we decided to purchase a cash ticket at $246. That's not a horrible rate, but there's so much competition on these transcontinental routes that you can usually find round-trip tickets for just a little bit more.
We paid with The Platinum Card® from American Express, which earned 5x points on flights purchased directly from the airline or through Amex Travel. That netted us 1,232 Membership Rewards, worth nearly $25 dollars, according to TPG's valuations.
Paying cash meant I was able to earn miles for the flight. I earned 1,085 redeemable miles (worth $13), $217 Medallion Qualifying Dollars and 2,586 Medallion Qualifying Miles toward Delta Medallion status.
If we had booked the flight with miles, there would have been a couple of different options. Delta doesn't have an award chart, but it's likely that rates for this rate wouldn't have fallen below 12,500 SkyMiles for the one-way flight.
However, Delta's award charts are quite dynamic these days, so it's possible to see rates below that -- or much higher. For a more consistent booking experience, we could have used Virgin Atlantic or Air France-KLM's Flying Blue miles, which would have cost 12,500 miles for a one-way domestic award ticket on Delta. If we'd decided to go that route, we could have transferred Amex Membership Rewards, Chase Ultimate Rewards and Citi ThankYou points to both Virgin Atlantic and Flying Blue at a 1:1 ratio.
[flight_stats ticket-class="econ" review-stat-section="Ground Experience" tpg-rating="7" tpg-rating-max="10" tail="N839MH" age="18" departure="15" departure-2="08" duration="5" duration-2="15" live-tv="0" tailcam="0" headphones="0" comp-alcohol="0" extra-pillows="0" turndown-service="0" /]
I pulled up to Terminal 1 at San Francisco Airport, where Delta, Frontier and Southwest operate from. I arrived around 12pm, two hours before my flight, to ensure I had plenty of time to take photos and experience T1.
There were plenty of self-check-in kiosks, but because Delta automatically checks you in if you have the Delta app, I already had a mobile boarding pass. I appreciated that I could still change my seat in the app right up until check-in.
Still, I needed to drop off my luggage, so I headed over to speak to an agent at baggage drop-off.
It took about 10 minutes for me to get to an agent. It wasn't a crazy long line but you'll definitely want to budget extra time if you have to drop off a bag.
Since I wasn't an elite and didn't hold a Delta cobranded credit card, I had to shell out $30 to check my bag (recently increased from $25). I paid with my Chase Sapphire Reserve to earn 3x points on the purchase. Once I was at the desk, handing my bag over wasn't an issue, and my interaction with the Delta ground agent was pleasant.
I breezed through security using the TSA PreCheck line, which I received for essentially free, since my Sapphire Reserve covers the $100 Global Entry application fee (and Global Entry includes PreCheck privileges). PreCheck is arguably one of the best perks for travelers -- even for those who may only fly once or twice a year — it's saved me an untold amount of time and helped me avoid missing more than one flight.
The Delta terminal was packed, which made sense for a Friday-afternoon departure, but I had to weave in and out of crowds of fellow flyers while trying to spot a an open seat near my gate.
For those with an Amex Platinum or Delta Reserve® Credit Card from American Express, you could head over to the Delta Sky Club and enjoy free food and refreshments. Just note that unless you hold an eligible credit card, you won't be able to enter the lounge as an economy passenger unless you pay $59.
I won't be diving into the Sky Club in this review, since it wasn't part of the normal economy experience, but it is worth noting that you can elevate your airport experience as a coach flyer with the right credit card. While the lounge was pretty packed, it was a great spot for AvGeeks — I was able to spot some birds docked, taxiing and taking off.
I headed to Gate 46, where Delta Flight 2216 was scheduled to depart from at 2:05pm. Boarding was set for 1:25pm, but there was a bit of an unknown snafu that lead to a 15-minute delay in the boarding process. When the agents finally did call the first group, it was for premium-cabin passengers, with Sky Priority customers getting to board next. I was in boarding Group 3, second to last, since I had purchased a main cabin fare. Group 4 was reserved for those unlucky flyers in Delta basic economy.
Since we were boarding a wide-body Boeing 767, there was a larger-than-normal group. Everyone bunched up near the boarding area, and it felt more chaotic than boarding American's transcon flight.
Other than the delay, boarding was relatively uneventful, and the gate agents were clear in their announcements. After Group 3 was called, I walked with my fellow passengers onto the aircraft, which was about 60% full at that point.
[flight_stats ticket-class="econ" review-stat-section="Cabin and Seat" tpg-rating="19" tpg-rating-max="25" configuration="2" configuration-2="3" configuration-3="2" width="17.9" pitch="32" lavs="4" live-tv="0" tailcam="0" headphones="0" comp-alcohol="0" extra-pillows="0" turndown-service="0" /]
Delta's 767-400ER could carry 40 passengers in business and another 206 in economy, with a comfortable 2-3-2 configuration in coach — this meant there was less than a 15% chance that you'd be in a middle seat on a full 767 flight.
I was seated in 24C, an aisle seat about halfway between the front and back of the coach cabin. The seat itself was plenty comfortable and didn't feel as old as the 18-year-old aircraft. There was enough padding (very welcome as seats are getting slimmer and slimmer) and the leather made for a pleasant seat for the five-plus-hour journey.
When it came to pitch, there was just enough legroom to not feel entirely claustrophobic, but it felt like there was more legroom on a recent flight on American. I'm about 6 feet, 1 inch, and my knees were getting quite close to the seat in front of me. Still, I felt like I had enough room to be comfortable but wouldn't say this was a standout economy product.
The armrests on the 767 were much wider than many newer seat models, making the seat feel a tad more narrow than it could have been. That extra inch means a whole lot when you're crammed in like a sardine in coach class.
There are only a few things that can increase your comfort levels on long-haul coach flights, and using your adjustable headrest correctly is one of them. However, mine was broken and wouldn't stay in place — frustrating for a taller person who might've wanted to catch some shut-eye.
It may have just been in my head, but it felt like my seat reclined a bit less than most other economy products. Every half inch matters in economy.
Working on flights is difficult enough as it is when you have seatmates next to you, but it's even harder when your laptop is jutting into your stomach. While the tray table was large enough to fit my 15-inch MacBook, if I wanted to look at the screen at a reasonable angle, I had to pull my computer toward me.
Another aspect of the cabin I appreciated was how high up the overhead bins were, which made the cabin feel much larger than a narrow-body and allowed for easy movement up and down the aisles.
Coach class was probably about two-thirds full, meaning there was plenty of traffic to the four available lavatories. I had to wait both times I visited.
The bathroom I used was plenty clean and offered enough room to turn around, but there weren't any special toiletries available in the lavatory.
[flight_stats ticket-class="econ" review-stat-section="Amenities and IFE" tpg-rating="10" tpg-rating-max="15" screen="7" movies="145" tv-shows="60" live-tv="No" tailcam="No" wifi="0.45" wifi-2="2.26" headphones="Yes" comp-alcohol="0" extra-pillows="0" turndown-service="0" /]
While Delta has plenty of aircraft with new inflight entertainment and has committed to keeping seatback screens as other carriers do away with them in favor of streaming to personal devices, this aircraft definitely revealed its age with its onboard IFE system.
You could tell this was an older model by the screen's size, which was quite small and definitely on the lower end for many mainline carriers. Don't expect any 4K here, or even 1080p, for that matter — the low resolution on these screens was so obvious it was almost distracting. It did include a screen which was touch-sensitive, but the screen had lots of difficulty recognizing my finger and even more trouble loading.
If you were willing to put up with the IFE screens, you were rewarded with plenty of content. There were recently released movies like "Annihilation," "The Incredibles 2," "Mission Impossible: Fallout," "McQueen" and "TAG," as well as great older movies including "The Big Sick," "The Blind Side," "The Breakfast Club," "Forgetting Sarah Marshall" and "Forrest Gump." Like other carriers I've flown recently, Delta had its Sky Kids children's section with games and movies like "Frozen," "The Jungle Book" and "The Lion King."
There were about 60 TV shows, each with two to four episodes, including premium programming from HBO and Showtime.
Still, I would've fared much better with a smartphone or laptop — I'd recommend streaming Delta's IFE to one of those devices, since you'll get a much better picture, sound and overall user experience.
I did receive free headphones from the flight attendants shortly after being seated, which was handy, since I normally carry around Bluetooth headphones that won't connect to any IFE system. But I got audio about as clear as a radio station on a cloudy day.
Headphones were the sole amenity we were provided — no blanket or pillow for us lowly economy passengers until we got to our destination.
To round out Delta's subpar entertainment experience was its inflight Wi-Fi. Delta used a ground-based connection from Gogo as its internet provider on this 767. Access to the system was turned on shortly after takeoff, an outdated feature as gate-to-gate wifi becomes the norm.
I got sticker shock from the high prices just to connect to the system (although the airline did provide free messaging): $11 for 30 minutes, $40 for the entire flight and $50 for the entire day. In comparison, I paid $16 to be connected for the entire six-hour flight on American's A321T, which provided an incredibly quick connection.)
At just 2.28 Mbps, I was able to connect and slowly browse the web. I had trouble streaming videos and loading image-heavy web pages. At one point, the Wi-Fi went completely out and wasn't working for more than five minutes.
[flight_stats ticket-class="econ" review-stat-section="Food and Beverage" tpg-rating="19" tpg-rating-max="25" live-tv="0" tailcam="0" headphones="0" comp-meal="1" meals-purchase="Yes" comp-alcohol="No" extra-pillows="0" turndown-service="0" /]
Meal service started about 30 minutes after takeoff. To my surprise, I was offered a complimentary meal. Yes, you heard that correctly. Delta serves economy passengers free food on select transcon routes.
I was offered three choices: a pastrami sandwich, fruit-and-cheese plate or veggie wrap. I went with the veggie wrap, which was prepared by Luvo foods. It came with a side of fresh fruit and grapes and Luvo's double-chocolate-chunk cookie.
On top of that, I ordered Delta's featured cocktail, a margarita with tequila Cazadores and Hella Cocktail Co. margarita mix. It tasted fine, but there didn't seem to be anything special about it compared to other airline's cocktails, especially considering I had to mix it myself. Adding something as simple as a salted rim could have made this drink truly "signature."
The carrier charged $8 for spirits and $7 to $8 for beer — on par with other mainline carriers. For all the grief, I gave Delta about its IFE, it did allow you to order drinks from your seat's IFE even after the beverage cart had come and gone.
Now for the main event: the fresh and tasty veggie wrap filled with spiced chickpeas, farro and sweet peppers. This definitely topped the list for domestic economy meals I've tried. The wrap tasted like it came straight off an assembly line at Sweetgreen. The fruit matched that farmers-market-fresh quality, though it was a measly amount with just one strawberry. Finally came the cookie, which was flavorful but a bit dry for my liking.
With an hour and a half left in the scheduled flight time, the staff came through the cabin with beverage and snack service. I ordered a water, Kind Bar and the classic Biscoff cookies that have begun slowly creeping into my dreams as I fly more and more.
It was nice to get a tasty, yet still healthy granola bar, as a snack. I appreciate Delta's efforts to make airplane meals healthier without sacrificing flavor.
In addition to the complimentary meals, there was food available for purchase. I was satisfied with the free options, so I passed on ordering extras.
[flight_stats ticket-class="econ" review-stat-section="Service" tpg-rating="21" tpg-rating-max="25" live-tv="0" tailcam="0" headphones="0" comp-alcohol="0" extra-pillows="0" turndown-service="0" blurb="Delta's pilots provided great communication during a frustrating delay, and other crew members were more than helpful to passengers when it really mattered." /]
After we had boarded the aircraft and taken our seats, the pilot came over the intercom, telling us that air traffic control had said that, because of bad weather in the east, we wouldn't be able to take off for another hour and a half, delaying an already late flight. A big bummer, but there isn't much you can do about bad weather.
About seven minutes later, the cockpit notified the cabin that it would only be a 50-minute delay. OK, a little better, and I appreciated the communication.
Another three minutes passed, and that calm, cool and collected voice that every pilot seems to have came over the speakers telling us our delay has been shortened to 30 minutes. We ended up taking off at 3:15pm, an hour and 15 minutes after our scheduled departure.
While it was frustrating to be delayed, especially when we were already on the airplane, I really did appreciate that the pilot was giving passengers quick, real-time updates. It almost felt like the crew was fighting the delay, which would make sense given Delta's great track record for on-time performance.
That wasn't the end of our problems. As we approached New York, I felt like our journey was taking longer than expected. I looked at the IFE map and saw that, while we were still flying, we weren't getting any closer to our destination.
We were then gifted with another announcement that we were in a holding pattern over Teterboro Airport, since traffic was backed up at New York-JFK (classic JFK). Radar tracking showed the few loops we made before we descended over Manhattan and the New Jersey coastline, making our way back over Long Island and finally landing.
Airport operations were so bad that day that, once we landed, we had to sit for another 25 minutes until our aircraft could park at a gate. Frustrating, but that's the nature of traveling during bad weather.
My interactions with Delta's flight attendants and ground agents were positive but limited, though I did overhear a flight attendant helping a frustrated flyer who was nervous about missing his connection to Tel Aviv because our flight was so delayed. Though the man kept asking the same questions and took out his irritation on the woman, she continued to work with him in and help him find a solution that eventually calmed him down — and she didn't lose her cool once. This all occurred midflight, and she seemingly juggled this along with all of her other duties.
I wouldn't say Delta's my preferred way to fly across the country, but it definitely isn't a bad one either. The airline upheld its reputation for good service, and the crew was great about communicating every detail of the delay. I was quite impressed by the quality of the food, and it was even better that the meal was free.
Still, the hard product showed wear, and the IFE and Wi-Fi needs a serious overhaul. Would I go out of my way to fly Delta's transcon economy product? Probably not, but if it were at a competitive price, then I would be more than happy to choose it again.
All images by the author.
Featured image by (Photo by Brendan Dorsey/The Points Guy)
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