text:
\section{Introduction}

Given a unital $W^*$-algebra $\mathcal A$ we consider the standard Hilbert module denoted by $l^2(\mathcal
A)$, (the notation $\mathcal H_{\mathcal A}$ is also widespread)
$$l^2(\mathcal A)=\{x=(\xi_1,\xi_2,\dots)\;|\;\xi_j\in\mathcal A,\sum_{j=1}^{+\infty}\xi^*_j\xi_j\mbox{
converges in the norm topology}\},$$
equipped with the $\mathcal A$-valued inner product
$$l^2(\mathcal A)\times l^2(\mathcal A)\ni(x,y)\mapsto\sum_{j=1}^{+\infty}\xi_j^*\eta_j\in\mathcal A,\qquad x=(\xi_1,\xi_2,\dots),\quad y=(\eta_1,\eta_2,\dots).$$

Since an arbitrary $\mathcal A$-linear bounded operator on $l^2(\mathcal A)$ does not need to have an
adjoint, the natural algebra of operators is $B^a(l^2(\mathcal A))$ - the algebra of all $\mathcal A$-linear
bounded operators on $l^2(\mathcal A)$ having an adjoint. It is known that $B^a(l^2(\mathcal A))$ is a
$C^*$-algebra and also that it is a $W^*$-algebra whenever $\mathcal A$ is of that kind.

Among all operators in $B^a(l^2(\mathcal A))$, those that belong to the linear span of the operators of the
form $x\mapsto\Theta_{y,z}(x)=z\left<y,x\right>$ ($y$, $z\in l^2(\mathcal A)$) are called {\em finite rank
operators}. The norm closure of finite rank operators is known as the algebra of all "compact" operators. The
quotation marks are usually written in order to emphasize the fact that "compact" operators does not maps
bounded sets into relatively compact sets, as it is the case in the framework of Hilbert (and also Banach)
spaces, though they share many properties of proper compact operators on a Hilbert space, \cite{Manuilov1},
\cite{Manuilov2}

For general literature concerning Hilbert modules over more general $C^*$ algebras, including the standard
Hilbert module, the reader is referred to \cite{Lance} or \cite{MT}.

The aim of this note is to introduce a locally convex topology on $l^2(\mathcal A)$, where $\mathcal A$ is a
unital $W^*$-algebra, such that any "compact" operator maps bounded sets (in the norm) into totally bounded
in the introduced topology. In a very special case, where $\mathcal A\cong B(H)$ the algebra of all bounded
operators on a Hilbert space, the converse is also true. Namely, any operator $T\in B^a(l^2(\mathcal A))$
that maps bounded into totally bounded sets is "compact". Therefore, speaking freely, we can omit the
quotation marks.

\section{Preliminaries}

Let us recall some basic definitions and facts concerning uniform spaces. For more details see
\cite{Bourbaki} or \cite{Kelly}.

Uniform spaces are those topological spaces in which one can deal with notions such as Cauchy sequence,
Cauchy net or uniform continuity. Although it is usual to define them as spaces endowed with a family of sets
in $X\times X$ given as some kind of neighborhoods of the diagonal, so called {\em entourages}, for our
purpose it is more convenient to give an equivalent definition, via a family of semimetrics.

\begin{definition} A nonempty set endowed with a family of semimetrics, functions $d_\a:X\times
X\to[0,+\infty)$ satisfying ($i$) $d_\a(x,y)\ge0$; ($ii$) $d_\a(x,y)=d_\a(y,x)$; ($iii$) $d_\a(x,z)\le
d_\a(x,y)+d_\a(y,z)$ is called a uniform space.

All $d_\a$ are metrics except they do not distinguish points, i.e.\ there might be $d_\a(x,y)=0$ for some
$x\neq y$. However it is provided that for all $x\neq y$ there is an $\a$ such that $d_\a(x,y)>0$.
\end{definition}

The family of sets $B_{d_\a}(x;\e)=\{y\in X\;|\;d_\a(x,y)<\e\}$ makes a basis for some topology. It is well
known that a topological space $X$ is a uniform space if and only if it is completely regular.

Let $X$ be a uniform space. For a net $x_i\in X$ we say that it is a Cauchy net if it is a Cauchy net with
respect to all $d_\a$, i.e.\ if for all $\a$ and for all $\e>0$ there is $i_0$ such that for all $i$, $j>i_0$
we have $d_\a(x_i,x_j)<\e$. The notion of a complete uniform space is defined in an obvious way.

A set $A\subseteq X$ is called totally bounded, if for all $\e>0$ and all $\a$ there is a finite set $c_1$,
$c_2$, $\dots$, $c_m\in X$ such that $B_\a(c_j;\e)=\{y\in X\;|\;d_\a(c_j,y)<\e\}$ cover $A$. It is well known
that any relatively compact set is totally bounded, and that the converse is true provided that $X$ is
complete.

If $X$ is not complete then there are totally bounded sets that are not relatively compact, for instance,
$\mathbb Q\cap[0,1]$ as a subset of $\mathbb Q$. (See also \cite[Remark 4.2.2]{Bourbaki})

Any locally convex topological vector space is a uniform space. Indeed, there is a family of seminorms
generating its topology. This family can be obtained by Minkowski functionals of basic neighborhoods of zero.
And an arbitrary seminorm define a semimetric in a natural way. Conversely, any family of seminorms that
distinguishes points leads to a locally convex Hausdorff topological vector space. Hence a family of
seminorms allows to deal with notions: totally bounded set, complete space, Cauchy net, etc.

\section{Topology}

For an arbitrary Hilbert $W^*$-module $\mathcal M$, Paschke \cite{Paschke}, \cite{Paschke2} in his initial
works on Hilbert $C^*$-modules and Frank \cite{Frank90}, introduced two topologies, $\tau_1$ and $\tau_2$,
the first of them generated by functionals $x\mapsto\f(\left<y,x\right>)$, $y\in\mathcal M$, $\f$ normal
state, and the second by seminorms $p(x)=\f(\left<x,x\right>)^{1/2}$, $\f$ normal state. Frank proved that
$\mathcal M$ is self-dual if and only if the unit ball in $\mathcal M$ is complete in $\tau_1$ (and this is
equivalent to the completeness in $\tau_2$). Therefore, if $\mathcal M=l^2(\mathcal A)$ is a standard Hilbert
module, it is not complete neither in $\tau_1$ nor in $\tau_2$, since $l^2(\mathcal A)$ is never self-dual,
except in the case where $\mathcal A$ is finite dimensional algebra. Since obviously $\tau_1\subset\tau_2$,
we shall refer to these topologies as to {\em weak PF} and {\em strong PF} topologies.

However, we need a topology which is between weak and strong PF topology. Namely, on a standard Hilbert
module $l^2(\mathcal A)$ where $\mathcal A$ is a unital $W^*$ algebra we define a locally convex topology
$\tau$ by the family of seminorms
\begin{equation}\label{seminorms}
p_{\f,y}(x)=\sqrt{\sum_{j=1}^{+\infty}|\f(\eta_j^*\xi_j)|^2},
\end{equation}
where $\f$ is a normal state, and $y=(\eta_1,\eta_2,\dots)$ is a sequence of elements in $\mathcal A$ such
that
\begin{equation}\label{admissible_sequence}
\sup_{j\ge1}\f(\eta_j^*\eta_j)=1.
\end{equation}

\begin{proposition}\label{ComparisonTopologies}
 Seminorms (\ref{seminorms}) are well defined. Also $\tau_1\subset\tau\subset\tau_2$.
\end{proposition}

\begin{proof} Since $(\xi,\eta)\mapsto\f(\eta^*\xi)$ is a semi inner product, we have
$|\f(\eta_j^*\xi_j)|^2\le\f(\xi_j^*\xi_j)\f(\eta_j^*\eta_j)$. By this, and by (\ref{admissible_sequence}) we
have
\begin{equation}\label{tau<tau_2}
p_{\f,y}(x)^2=\sum_{j=1}^{+\infty}|\f(\eta_j^*\xi_j)|^2\le\sum_{j=1}^{+\infty}\f(\xi_j^*\xi_j)\f(\eta_j^*\eta_j)\le\sum_{j=1}^{+\infty}\f(\xi_j^*\xi_j)=\f(\left<x,x\right>).
\end{equation}
This proves that seminorms (\ref{seminorms}) are well defined, and also that $\tau\subset\tau_2$.

To prove $\tau_1\subset\tau$, pick $y\in l^2(\mathcal A)$, $y=(\eta_1,\eta_2,\dots)$. The sequence $\zeta_j$
given by $\zeta_j=\eta_j/\f(\eta_j^*\eta_j)^{1/2}$ if $\f(\eta_j^*\eta_j)\neq0$, and $\zeta_j=0$ otherwise
obviously fulfils (\ref{admissible_sequence}). Hence
\begin{align*}
|\f(\left<y,x\right>)|&=\left|\f\left(\sum_{j=1}^{+\infty}\eta_j^*\xi_j\right)\right|=\left|\sum_{j=1}^{+\infty}\f(\eta_j^*\eta_j)^{1/2}\f(\zeta_j^*\xi_j)\right|\le\\
    &\le\left(\sum_{j=1}^{+\infty}\f(\eta_j^*\eta_j)\right)^{1/2}\left(\sum_{j=1}^{+\infty}|\f(\zeta_j^*\xi_j)|^2\right)^{1/2}=\f(\left<y,y\right>)^{1/2}p_{\f,z}(x),
\end{align*}
finishing the proof.
\end{proof}

\begin{remark} The dual module of the module $\mathcal M$ is defined as the module of all $\mathcal A$-linear
and $\mathcal A$-valued bounded functionals. It is denoted by $\mathcal M'$. The module $\mathcal M$ always
can be embedded in $\mathcal M'$ via $\mathcal M\ni y\mapsto\Lambda_y\in\mathcal M'$,
$\Lambda_y(x)=\left<y,x\right>$. If this embedding is onto, the module $\mathcal M$ is called {\em
self-dual}.

It is well known that $l^2(\mathcal A)$ is not self-dual, except the algebra $\mathcal A$ is finite
dimensional. Namely, $l^2(\mathcal A)'$ can be described as the module of all sequences
$x=(\xi_1,\xi_2,\dots)$ such that the sequence of sums $\sum_{j=1}^n\xi_j^*\xi_j$ is norm bounded,
\cite[Proposition 2.5.5]{MT}.

Reading carefully the proof of the preceding proposition, one can see that nothing is changed if we replace
$l^2(\mathcal A)$ by $l^2(\mathcal A)'$. Indeed, the entire proof does not depend on the norm convergence of
the series $\sum_{j=1}^{+\infty}\xi_j^*\xi_j$.
\end{remark}

\begin{proposition} The unit ball in $l^2(\mathcal A)$ is not complete with respect to $\tau$. Its completion
is the unit ball in the dual module $l^2(\mathcal A)'$.
\end{proposition}

\begin{proof} First, we prove that the unit ball in $l^2(\mathcal A)$ is dense in the unit ball in
$l^2(\mathcal A)'$.

Let $x\in l^2(\mathcal A)'$, $x=(\xi_1,\xi_2,\dots)$. Since the sequence of sums $\sum_{j=1}^n\xi_j^*\xi_j$
is bounded it is convergent in strong (or weak, or ultraweak etc.) topology. By normality of $\f$ we have
$$\f\left(\sum_{j=1}^{+\infty}\xi_j^*\xi_j\right)=\sum_{j=1}^{+\infty}\f(\xi_j^*\xi_j),$$
implying that $\f(\sum_{j=n}^{+\infty}\xi_j^*\xi_j)\to0$, as $n\to+\infty$.

Thus, by the inequality (\ref{tau<tau_2}) $(\xi_1,\xi_2,\dots,\xi_n,0,0,\dots)\to x$ in each seminorm of the
form (\ref{seminorms}).

Next, we prove that $l^2(\mathcal A)'$ is complete. Let $x^\a=(\xi_1^\a,\xi_2^\a,\dots)$ be a Cauchy net in
the unit ball. Choosing an arbitrary normal state, and $\eta_k=1$, $\eta_j=0$ for $j\neq k$ we obtain that
$\xi_k^\a$ is a Cauchy net in weak-$*$ topology in the unit ball in $\mathcal A$. Hence, it is convergent,
say $\xi_k^\a\to\xi_k$ in the weak-$*$ topology.

Since multiplying is ultraweakly continuous, for any $n\in\N$ and for all $\eta_j$ which satisfy
(\ref{admissible_sequence}) we have
$$\sum_{j=1}^k|\f(\eta_j^*\xi_j^\a)|^2\to\sum_{j=1}^k|\f(\eta_j^*\xi_j)|^2.$$

Choosing $\eta_j=\xi_j/\f(\xi_j^*\xi_j)^{1/2}$ if $\f(\xi_j^*\xi_j)\neq0$ and $\eta_j=0$ otherwise, we get
$$\sum_{j=1}^k\f(\xi_j^*\xi_j)=\sum_{k=1}|\f(\eta_j^*\xi_j)|^2=\lim_\a\sum_{j=1}^k|\f(\eta_j^*\xi_j^\a)|^2\le||x||\le1.$$
Taking the limit as $k\to+\infty$ we conclude that $x=(\xi_1,\xi_2,\dots)\in l^2(\mathcal A)'$. To see that
$x$ is the limit of the Cauchy net $x^\a$ it is enough to take the limit over $\beta$ in
$$\sum_{j=1}^k|\f(\eta_j^*\xi_j^\a)-\f(\eta_j^*\xi_j^\beta)|^2\le\sum_{j=1}^{+\infty}|\f(\eta_j^*\xi_j^\a)-\f(\eta_j^*\xi_j^\beta)|^2<\e,$$
and finally the limit as $k\to+\infty$.
\end{proof}

Next, we want to study the restriction of $\tau$ to module $\mathcal A^n$ seen as a submodule of
$l^2(\mathcal A)$ consisting of those $x$ for which $\xi_j=0$ for all $j>n$.

\begin{proposition} a) On $\mathcal A^n$ the weak PF and our topology coincide, i.e.\ we have
$\tau_1|_{\mathcal A^n}=\tau|_{\mathcal A^n}$;

b) The embedding $i:\mathcal A^n\to l^2(\mathcal A)$, $i(\xi_1,\dots,\xi_n)=(\xi_1,\dots,\xi_n,0,\dots)$ is
continuous with respect to $(\tau|_{\mathcal A^n},\tau)$.
\end{proposition}

\begin{proof} a) We already have $\tau_1\subseteq\tau$. Let us prove the converse. An arbitrary seminorm of
the form (\ref{seminorms}) restricted to $\mathcal A^n$ has the form
\begin{equation}\label{seminorms_reduced}
p_{\f,y}(x)=\sqrt{\sum_{j=1}^n|\f(\eta_j^*\xi_j)|^2}.
\end{equation}
Consider the vectors $y_j=(0,\dots,0,\eta_j,0,\dots,0)$, where $\eta_j$ is the $j$-th entry. Then
$$p_{\f,y}(x)=\sqrt{\sum_{j=1}^n|\f(\left<y_j,x\right>)|^2}\le\sum_{j=1}^n|\f(\left<y_j,x\right>)|,$$
from which we conclude that $p_{\f,y}$ is continuous with respect to $\tau_1$;

b) One can easily check that
$$i^{-1}(\{x\;|\;p_{\f,\eta_1,\dots,\eta_n,\dots}(x)<\e\})=\{(\xi_1,\dots,\xi_n)\;|\;p_{\f,\eta_1,\dots,\eta_n}(\xi_1,\dots,\xi_n)<\e\}.$$
\end{proof}

\begin{proposition}\label{FiniteBallCompact}
The unit ball in $\mathcal A^n$ is compact with respect to $\tau|_{\mathcal A^n}$. Since $\mathcal A^n$ is
self-dual, the unit ball is also complete and hence totally bounded.
\end{proposition}

\begin{proof} In the case $n=1$, both topologies $\tau$ and $\tau_1$ are generated by seminorms
$\xi\mapsto|\f(\eta^*\xi)|$, $\eta\in\mathcal A$, $\f$ normal state. It is easy to verify that these
topologies are exactly the weak-$*$ topology on $\mathcal A$. Therefore, in this special case the conclusion
follows by Banach-Alaoglu theorem.

To obtain the result in general case, consider the product topology on $\mathcal A^n=\mathcal
A\times\dots\times\mathcal A$. Basic neighborhoods of zero have the form
$\{(\xi_1,\xi_2,\dots,\xi_n)\;|\;\forall j=1,2,\dots,n\:|\f_j(\eta_j^*\xi_j)|<\e_j\}$. Due to the
inequalities
$$\max_{1\le j\le n}|\f(\eta_j^*\xi_j)|\le\sqrt{\sum_{j=1}^n|\f(\eta_j^*\xi_j)|^2}\le\sqrt n\max_{1\le j\le
n}|\f(\eta_j^*\xi_j)|,$$
the topology $\tau$ is weaker then the product topology. Since the product of unit balls is compact in
stronger, product topology, and since $\tau$ is Hausdorff, we conclude that $\tau$ coincides with the product
topology on the product of unit balls.

Therefore, it remains to show that the unit ball in $\mathcal A^n$ is closed in the product of $n$ unit balls
in $\mathcal A$, i.e.\ that its complement is open.

Let $z=(\zeta_1,\dots,\zeta_n)\in\mathcal A^n$, $||z||>1$ be arbitrary. Let $\e>0$ be a number less then
$(||z||^2-||z||)/\sqrt n$, and let $\f$ be the normal state that attains its norm at
$\left<z,z\right>=\zeta_1^*\zeta_1+\dots+\zeta_n^*\zeta_n$ up to $\e\sqrt n$, i.e.\
$\f(\left<z,z\right>)>||z||^2-\e\sqrt n$. Consider the seminorm
$$p_{\f,z}(x)=\sqrt{|\f(\zeta_1^*\xi_1)|^2+\dots+|\f(\zeta_n^*\xi_n)|^2},\qquad x=(\xi_1,\xi_2,\dots,\xi_n).$$
We claim that the open set
$$G=\{x\;|\;p_{\f,z}(x-z)<\e\}$$
does not intersect the unit ball $B$.

Indeed, let $x\in G$. Then by classic Cauchy-Schwartz inequality we  have
\begin{align*}\e^2&>p_{\f,z}(x-z)^2=|\f(\zeta_1^*\xi_1)-\f(\zeta_1^*\zeta_1)|^2+\dots+|\f(\zeta_n^*\xi_n)-\f(\zeta_n^*\zeta_n)|^2\ge\\
                &\ge\frac1n|\f(\zeta_1^*\xi_1)+\dots+\f(\zeta_n^*\xi_n)-\f(\zeta_1^*\zeta_1)-\dots-\f(\zeta_n^*\zeta_n)|^2,
\end{align*}
or
\begin{align*}
\e\sqrt n&>|\f(\zeta_1^*\xi_1+\dots+\zeta_n^*\xi_n)-||z||^2+\e\sqrt n|\ge\\
        &\ge||z||^2-\e\sqrt n-|\f(\zeta_1^*\xi_1+\dots+\zeta_n^*\xi_n)|,
\end{align*}
i.e.
\begin{equation}\label{KSh1}
||z||^2-2\e\sqrt n<|\f(\zeta_1^*\xi_1+\dots+\zeta_n^*\xi_n)|=|\f(\left<z,x\right>)|.
\end{equation}
However, $\f(\left<z,x\right>)$ is a semi inner product and it satisfy Cauchy Schwartz inequality
\begin{equation}\label{KSh2}
|\f(\left<z,x\right>)|^2\le\f(\left<z,z\right>)\f(\left<x,x\right>)\le||z||^2||x||^2.
\end{equation}
From (\ref{KSh1}) and (\ref{KSh2}) we obtain
$$||z||\,||x||>||z||^2-2\e\sqrt n,$$
and taking into account how $\e$ is chosen, we have
$$||x||>\frac1{||z||}(||z||^2-2\e\sqrt n)>1.$$
Therefore, $x\notin B$, implying $B$ is a closed set. The proof is complete.
\end{proof}

\begin{proposition}The unit ball in $l^2(\mathcal A)$ is not totally bounded in $\tau$.
\end{proposition}

\begin{proof}Let $e_j=(0,\dots,0,1,0,\dots)$, where $1$ the unit of the algebra $\mathcal A$ stands at the
$j$-th entry. Let $\f$ be an arbitrary normal state and consider a seminorm $p=p_{\f,1,1,\dots}$ given by
$p(x)^2=\sum_{j=1}^{+\infty}|\f(\xi_j)|^2$.

We claim that the sequence $e_j$ is totally discrete in $p$. Indeed $p(e_i-e_j)^2=|\f(1)|^2+|\f(-1)|^2=2$,
i.e.\ $p(e_i-e_j)=\sqrt2$. Hence, the set $\{e_j\;|\;j\ge1\}$ is not totally bounded in $p$ and also in
$\tau$. The same is valid for a larger set - the unit ball.
\end{proof}

\section{"Compact" operators}

Let $y$, $z\in l^2(\mathcal A)$. The operator $l^2(\mathcal A)\to l^2(\mathcal A)$, $x\mapsto
z\left<y,x\right>$ is adjointable (its adjoint is $x\mapsto y\left<z,x\right>$) and bounded. The closed
linear hull of such operators is called the algebra of "compact" operators.

We say that the operator $T\in B^a(l^2(\mathcal A))$ is {\em compact} if its image of any (norm) bounded set
is a totally bounded set in topology $\tau$ described in the previous section. For the operator $T\in
B^a(l^2(\mathcal A))$ it is enough to maps the unit ball into a totally bounded set to be a compact operator.

\begin{remark} Totally bounded and relatively compact sets differ in general case (whenever the unit
ball is not complete). Also, throughout the literature, there is a certain ambiguity between terms {\em
completely continuous}, {\em compact} and {\em precompact} operators. Although it seems that terms {\em
completely continuous} and {\em precompact} are more accurate, we found that {\em compact} is more convenient
for our purpose.
\end{remark}

Before we prove that any "compact" operator is compact, we need a few lemmata.

\begin{lemma} For $S$, $T\subseteq l^2(\mathcal A)$ and a seminorm $p$ denote
$$d_p(S,T)=\sup_{x\in S}\inf_{y\in T}p(x-y)$$
(and note that $d_p$ is not symmetric). Let $S\subseteq l^2(\mathcal A)$. If for all seminorms $p$ of the
form (\ref{seminorms}) and all $\e>0$ there is a totally bounded set $S_{p,\e}$ such that
\begin{equation}\label{distance_seminorm}
d(S,S_{p,\e})<\e.
\end{equation}
then $S$ is also totally bounded.
\end{lemma}

\begin{proof} Denote
$$B_p(x;\e)=\{y\in l^2(\mathcal A)\;|\;p(x-y)<\e\}.$$
The condition (\ref{distance_seminorm}) gives
\begin{equation}\label{cover_p}
S\subseteq\bigcup_{x\in S_{p,\e}}B_p(x;\e/2),
\end{equation}
for all $\e>0$.

Let $\e>0$ be arbitrary. The set $S_{p,\e/2}$ is totally bounded in $p$ and hence there is a finite set
$\{c_1,\dots,c_m\}$ such that the union of balls $B_p(c_j;\e/2)$ covers $S_{\e/2}$. By (\ref{cover_p}) the
union of balls $B_p(c_j;\e)$ covers $S$.
\end{proof}

\begin{lemma}\label{CompletelyLimit}
Let $T_\a:l^2(\mathcal A)\to l^2(\mathcal A)$ be a net of compact operators such that $T_\a x\to Tx$ in
$\tau$ uniformly with respect to $||x||<1$. Then $T$ is also compact.
\end{lemma}

\begin{proof} For any $\e>0$ and any seminorm $p$ of the form (\ref{seminorms}) there is $\a$ such that
$\sup_{||x||<1}p(Tx-T_\a x)<\e$. Therefore,
$$d_p(T(B_{||\cdot||}(0;1)),T_\a(B_{||\cdot||}(0;1)))\le\e$$
and the conclusion follows from the previous Lemma.
\end{proof}

\begin{corollary}
Let $S\subseteq l^2(\mathcal A)$ be a set such that for all $\e>0$ there is a totally bounded (in $\tau$) set
$S_\e$ such that
\begin{equation}\label{distance}
d(S,S_\e)=\sup_{x\in S}\inf_{y\in S_\e}||x-y||<\e.
\end{equation}
Then $S$ is also totally bounded in $\tau$.

Also, let $T_n:l^2(\mathcal A)\to l^2(\mathcal A)$ be a sequence of compact operators that converges to $T$
in the operator norm. Then $T$ is also compact.
\end{corollary}

\begin{proof} Both conclusions follows from the fact that $\tau$ is coarser then the norm topology.
\end{proof}

\begin{lemma}\label{CompletelyLinear}
Let $T_1$ and $T_2$ be compact operators, and let $u_1$, $u_2\in\mathcal A$. Then $T_1u_1+T_2u_2$ is also
compact.
\end{lemma}

\begin{proof} Let $\e>0$ be arbitrary. Since $T_1$ and $T_2$ are compact there is a finite
$\e/2||u_1||$ net for $T_1(B_{||\cdot||}(0;1))$, say $c_1$, $c_2$, $\dots$, $c_n$, and a finite $\e/2||u_2||$
net for $T_2(B_{||\cdot||}(0;1))$, say $d_1$, $\dots$, $d_m$. Then the set $\{c_iu_1+d_ju_2\;|\;1\le i\le
i,1\le j\le m\}$ is a finite $\e$ net for $(T_1u_1+T_2u_2)(B_{||\cdot||}(0;1))$. Indeed, if $x\in
B_{||\cdot||}(0;1)$, then there is $i$ and $j$ such that $||T_1x-c_i||<\e/2||u_1||$ and
$||T_2x-d_j||<\e/2||u_2||$. Hence
$$||(T_1xu_1+T_2xu_2)-(c_iu_1+d_ju_2)||\le||T_1x-c_i||\,||u_1||+||T_2x-d_j||\,||u_2||<\e.$$
\end{proof}

\begin{theorem} Let $T:l^2(\mathcal A)\to l^2(\mathcal A)$ be a "compact" operator. Then $T$ is compact.
\end{theorem}

\begin{proof} In view od Lemmata \ref{CompletelyLimit} and \ref{CompletelyLinear}, it is enough to prove that
operators of the form $x\mapsto \Theta_{y,z}(x)=z\left<y,x\right>$ are compact.

In the special case, where $z=e_j\zeta$, $\zeta\in\mathcal A$ it immediately follows from Proposition
\ref{FiniteBallCompact}. Indeed, then $\Theta_{y,e_j\zeta}(B_{||\cdot||}(0;1))$ is contained in the ball of
radius $||T||$ in $\mathcal A^1$ which is totally bounded.

In general case, let $z=(\zeta_1,\zeta_2,\dots)$. Then $z=\sum_{j=1}^{+\infty}e_j\zeta_j$ where the series
converges in the norm. Since $||\Theta_{y,z}-\Theta_{y,z'}||\le||y||\,||z-z'||$, we have
$$\Theta_{y,z}=\lim_{n\to+\infty}\sum_{j=1}^n\Theta_{y,e_j\zeta_j}$$
and the required follows from the special case and Lemmata \ref{CompletelyLimit} and \ref{CompletelyLinear}.
\end{proof}

The converse is true in the special case where $\mathcal A=B(H)$ is the full algebra of all bounded linear
operators on a Hilbert space $H$. Before we prove such result we need a technical Lemma.

\begin{lemma}\label{ChooseState}
Let $\mathcal A=B(H)$ and let $a_j\in\mathcal A$, $j\ge 1$ be positive elements with $||a_j||>\delta$. There
is a normal state $\f$ and unitary elements $u_j$, $v_j\in \mathcal A$ such that $|\f(v_j^*a_ju_j)|>\delta$.
\end{lemma}

\begin{remark}Actually, we can choose $\f$ to be a vector state, and also we can choose $u_j=v_j$.
\end{remark}

\begin{proof} Let $\psi\in H$ be a unit vector, and let $\f$ be the corresponding vector state, i.e.\
$\f(a)=\left<a\psi,\psi\right>$. For all $a_j$ let $h_j$ be a unit vector such that
$\left<a_jh_j,h_j\right>>\delta$. As it is easy to see, there is a unitary $u_j$ such that $u_j\psi=h_j$.
Thus, we have $\f(u_j^*a_ju_j)=\left<u_j^*a_ju_j\psi,\psi\right>=\left<a_jh_j,h_j\right>>\delta$.
\end{proof}

\begin{theorem}\label{OtherDirection}
Let $\mathcal A=B(H)$ and let $T:l^2(\mathcal A)\to l^2(\mathcal A)$ be a compact operator. Then T is
"compact".
\end{theorem}

\begin{proof} Let $P_k$ denote the projection to the first $k$ coordinates, i.e.\
$P_k(\xi_1,\xi_2,\dots)\allowbreak=(\xi_1,\dots,\xi_k,0,0,\dots)$. It is well known that all $P_k$ are
"compact".

Suppose $T$ is not "compact". Then
$$\delta=\inf_{n\ge1}||(I-P_k)T||>0.$$
Indeed, otherwise either for some $k$ we have $(I-P_k)T=0$ and hence $T=P_kT$ is "compact", or there is a
sequence of positive integers $k_n$ such that $||T-P_{k_n}T||\to0$ from which it follows that $T$ is
"compact".

To simplify the calculations assume $||T||=1$. Then immediately, $\delta\le1$.

Define the sequence of projections $Q_n\in\{P_1,P_2,\dots\}$ and the sequences of vectors $x_n$, $y_n$ and
$z_n\in l^2(\mathcal A)$ in the following way. Let $Q_0=0$. If $Q_{n-1}$ is already defined, there is $x_n\in
l^2(\mathcal A)$ such that $||x_n||=1$ and $||(I-Q_{n-1})Tx_n||>\delta/2$. Denote $y_n=Tx_n$. Then, by
$||I-Q_{n-1}||=1$,
$$||y_n||\ge||(I-Q_{n-1})y_n||>\frac\delta2.$$
Since $\lim_{k\to+\infty}||(I-P_k)(I-Q_{n-1})y_n||=0$, there is a positive integer $k_n$ such that
$||(I-P_{k_n})(I-Q_{n-1})y_n||<\delta^2/8\le\delta/8$. Define $Q_n=P_{k_n}$ and
\begin{equation}\label{define_z}
z_n=Q_n(I-Q_{n-1})y_n.
\end{equation}

The sequences $y_n$ and $z_n$ have the following properties:

Firstly, by definition, there hold the inequalities
\begin{equation}\label{property1}
||(I-Q_n)(I-Q_{n-1})y_n||<\frac{\delta^2}8\le\frac\delta8,
\end{equation}
\begin{equation}\label{property1a}
||z_n||\le||y_n||\le||T||\,||x_n||=1,
\end{equation}
\begin{equation}\label{property1b}
||z_n||\ge||(I-Q_{n-1})y_n||-||(I-Q_n)(I-Q_{n-1})y_n||>\frac\delta2-\frac\delta8=\frac{3\delta}8.
\end{equation}

Secondly,
\begin{equation}\label{property2}
\left<z_n,y_n\right>=\left<z_n,z_n\right>.
\end{equation}
Indeed, since $z_n=Q_n(I-Q_{n-1})y_n$, we have
\begin{align*}
\left<z_n,y_n\right>&=\left<Q_n(I-Q_{n-1})y_n,y_n\right>=\\
                    &=\left<Q_n(I-Q_{n-1})y_n,(I-Q_{n-1})Q_ny_n\right>=\left<z_n,z_n\right>.
\end{align*}

Thirdly, for $m>n$ we have
\begin{equation}\label{property3}
||\left<z_m,y_n\right>||<\frac\delta8.
\end{equation}
Indeed, for such $m$ and $n$ we have $Q_{n-1}\le Q_n\le Q_{m-1}$, i.e.\ $I-Q_{m-1}\le I-Q_n\le I-Q_{n-1}$,
implying $I-Q_{m-1}=(I-Q_{m-1})(I-Q_n)(I-Q_{n-1})$, and thus
\begin{align*}
\left<z_m,y_n\right>&=\left<(I-Q_{m-1})z_m,y_n\right>=\\
    &=\left<z_m,(I-Q_{m-1})(I-Q_n)(I-Q_{n-1})y_n\right>=\\
    &=\left<z_m,(I-Q_n)(I-Q_{n-1})y_n\right>.
\end{align*}
Therefore, by (\ref{property1}) and (\ref{property1b})
$$||\left<z_m,y_n\right>||\le||z_m||\,||(I-Q_n)(I-Q_{n-1})y_n||\le\frac{\delta^2}8.$$

Let us construct a seminorm $p$, continuous in $\tau$, and a totally discrete sequence from
$T(\overline{B_{||\cdot||}(0;1)})$. Since by (\ref{property1b})
$||z_n||^2=||\upsilon^*_n\left<z_n,z_n\right>\nu_n||>(3\delta/8)^2$, we can choose $\f$ and $\upsilon_j$,
$\nu_j\in\mathcal A$ according to Lemma \ref{ChooseState}, such that
\begin{equation}\label{phi_choosed}
\f(\upsilon_n^*\left<z_n,z_n\right>\nu_n)>\frac{9\delta^2}{64}.
\end{equation}
Consider the seminorm $p$ given by
$$p(x)=\sqrt{\sum_{j=1}^{+\infty}|\f(\left<z_j\upsilon_j,x\right>)|^2}$$
By (\ref{define_z}) there is a sequence $\zeta_j\in\mathcal A$ such that
$$z_k=(0,\dots,0,\zeta_{k_{n-1}+1},\dots,\zeta_{k_n},0,\dots).$$
Define $\omega_n=\zeta_n\upsilon_n/\f(\upsilon_n^*\zeta^*_n\zeta_n\upsilon_n)^{1/2}$. Obviously
$\f(\omega_n^*\omega_n)=1$. Also, for $x=(\xi_1,\xi_2,\dots)$ we have
\begin{align*}
|\f(\left<z_n\upsilon_n,x\right>)|^2&=\left|\sum_{j=k_{n-1}+1}^{k_n}\f(\upsilon_n^*\zeta^*_j\zeta_j\upsilon_n)^{1/2}\f(\omega_j^*\xi_j)\right|^2\le\\
    &\le\sum_{j=k_{n-1}+1}^{k_n}\f(\upsilon_n\zeta^*_j\zeta_j\upsilon_n)\sum_{j=k_{n-1}+1}^{k_n}|\f(\omega_j^*\xi_j)|^2=\\
    &=\f(\upsilon^*_n\left<z_n,z_n\right>\upsilon_n)\sum_{j=k_{n-1}+1}^{k_n}|\f(\omega_j^*\xi_j)|^2
\end{align*}
Including (\ref{property1a}) we obtain
$\f(\upsilon^*_n\left<z_n,z_n\right>\upsilon_n)\le||\upsilon^*_n\left<z_n,z_n\right>\upsilon_n||=||z_n||^2\le1$
and hence
$$p(x)^2=\sum_{n=1}^{+\infty}|\f(\left<z_n,x\right>)|^2\le\sum_{j=1}^{+\infty}|\f(\omega_j^*\xi_j)|^2=
    p_{\f,\omega_1,\dots,\omega_n,\dots}(x)^2.$$
Thus, we conclude that $p$ is well defined and also that it is continuous with respect to $\tau$.

Also, $||x_n\nu_n||=||x_n||$, i.e.\ $y_n\nu_n=Tx_n\nu_n\in T(\overline{B(0;1)})$. Finally we shall prove that
$y_n\nu_n$ is a totally discrete sequence. Indeed, for $m>n$ we have
\begin{align*}
p(y_m\nu_m-y_n\nu_n)&\ge|\f(\left<z_m\upsilon_m,y_m\nu_m-y_n\nu_n\right>)|\ge\\
    &\ge|\f(\upsilon_m^*\left<z_m,y_m\right>\nu_m)|-|\f(\upsilon_m^*\left<z_m,y_n\right>\nu_n)|.
\end{align*}
However, by (\ref{property2}) and (\ref{phi_choosed}),
$$|\f(\upsilon_m\left<z_m,z_m\right>\nu_m)|>\frac{9\delta^2}{64}$$
and, by (\ref{property3})
$$|\f(\upsilon_m^*\left<z_m,y_n\right>\nu_n)|\le||\left<z_m,y_n\right>||<\frac{\delta^2}8.$$
Therefore
$$p(y_m\nu_m-y_n\nu_n)>\frac{9\delta^2}{64}-\frac{\delta^2}8=\frac{\delta^2}{64}.$$
\end{proof}

\section{An example and a comment}

The proof of Theorem \ref{OtherDirection} depends on Lemma \ref{ChooseState}. Hence it is valid for all
unital $W^*$-algebras that satisfy the mentioned Lemma. We do not know how to describe such algebras, but it
should be mentioned that Lemma \ref{ChooseState} does not hold for infinite dimensional commutative
$W^*$-algebras.

\begin{example}
In any infinite dimensional commutative $W^*$ algebra $\mathcal A$, there is a sequence $p_j$ of nontrivial
mutually orthogonal projections. Since $\sum_{j=1}^np_j$ is an increasing sequence,
$p=\sum_{j=1}^{+\infty}p_j\in\mathcal A$. Therefore, for an arbitrary normal state $\f$ the series
$\sum_{j=1}^{+\infty}\f(p_j)$ is convergent. The algebra is commutative, and for all unitary $\upsilon_j$,
$\nu_j$ we have
$$|\f(\upsilon_jp_j\nu_j)|=|\f(p_j\upsilon_j\nu_j)|\le\f(p_j)^{1/2}\f(\nu_j^*\upsilon_j^*\upsilon_j\nu_j)^{1/2}\to0.$$
Thus, Lemma \ref{ChooseState} is not valid for commutative $W^*$ algebras.

Moreover, we can use this sequence of projection to construct an operator which is compact but is not
"compact". Indeed, let $T:l^2(\mathcal A)\to l^2(\mathcal A)$ be the operator defined by
\begin{equation}\label{counterexample}
Tx=T(\xi_1,\xi_2,\dots)=(p_1\xi_1,p_2\xi_2,\dots).
\end{equation}
Then, $T$ is not "compact". Indeed, if it is "compact", for all $\e>0$ there is an operator $S$ of the form
$S=\sum_{j=1}^n\lambda_j\Theta_{y_j,z_j}$ such that $||T-S||<\e/3$. Since $P_kz_j-z_j\to0$, as $k\to+\infty$
for all $1\le j\le n$ implies $||P_kS-S||\to0$, there is $k$ large enough such that $||P_kS-S||<\e/3$ and
then $||T-P_kT||\le||T-S||+||S-P_kS||+||P_k(S-T)||<\e$. However, as it is easy to see
$||T-P_kT||\ge||Te_k-P_kTe_k||=||1-p_k||=1$.

On the other hand, for an arbitrary semi norm of the form (\ref{seminorms}) we have $p((T-P_kT)x)\to0$,
uniformly with respect to $x\in B_{||\cdot||}(0,1)$. Indeed, $\mathcal A$ is commutative and therefore
$\xi_j^*\xi_j\eta_j^*\eta_j\le||\xi_j||^2\eta_j^*\eta_j$, and further
$\f(\xi_j^*\xi_j\eta_j^*\eta_j)\le||\xi_j||^2\sup_j\f(\eta_j^*\eta_j)\le 1$, by $||x||<1$ and
(\ref{admissible_sequence}). Thus, we have
$$p((T-P_kT)x)^2=\sum_{j=k+1}^{+\infty}|\f(\eta_j^*p_j\xi_j)|^2\le\sum_{j>k}\f(p_j)\f(\xi_j^*\xi_j\eta_j^*\eta_j)\le
    \sum_{j>k}\f(p_j)\to0.$$
Hence, $T$ is compact by Lemma \ref{CompletelyLimit}
\end{example}

\begin{remark} Topology $\tau$ defined in this note highly depends on coordinates, and therefore it is
inappropriate for Hilbert modules other then $l^2(\mathcal A)$. One might try to define a topology by semi
norms
\begin{equation}\label{seminormsmore}
p_{\f,z_j}(x)=\sqrt{\sum_{j=1}^{+\infty}|\f(\left<z_j,x\right>)|^2},
\end{equation}
where $\f$ is a normal state, and $z_j$ is an orthogonal sequence, that satisfies
$\sup_{j\ge1}\f(\left<z_j,z_j\right>)=1$. These semi norms are generalization of those given by
(\ref{seminorms}). Indeed, semi norm (\ref{seminormsmore}) become semi norms (\ref{seminorms}) by choosing
$z_j=e_j\eta_j$.

However, such new topology is in the case of $l^2(\mathcal A)$ larger then $\tau$, even if we suppose that
$z_j$ is even more orthonormal. Namely, if $\mathcal A=B(H)$, $H$ infinite dimensional, there is a Cuntz
$\infty$-tuple, i.e.\ a sequence of isometries $v_j$ satisfying $v_j^*v_j=1$ and
$\sum_{j=1}^{+\infty}v_jv_j^*=1$. Then, it is easy to see that $x_j=(v_j,0,0,\dots)$ is orthonormal. But, in
the semi norm $p_{\f,x_j}$ of the form (\ref{seminormsmore}) the sequence $x_j$ itself is totally discrete.
\end{remark}

\subsection*{Acknowledgement}
The authors was supported in part by the Ministry of education and science, Republic of Serbia, Grant
\#174034.

redpajama_set_name: RedPajamaArXiv


text:
Q: Unable Force Download File in Django HttpResponse (HTML/ PDF) I am trying to output HTML or PDF files for download. I have written few lines of code to generate html & PDF file from a template and download it.

*

*However, my code is working for Chrome browser only. When I try to download it from other browser (e.g. DuckDuckGo) I am getting my current page (i.e. roll.html) downloaded instead of the file (i.e. file rendered from html_output_template.html) which I want to export.

Here's the code I am trying: views.py
def generate_html(request, res):
    cdict = {'res':res, 'date':datetime.date.today()}
    if request.method == 'POST':
        inv_form = InvoiceInfoForm(data= request.POST)
        if inv_form.is_valid():
            inv_data  = inv_form.cleaned_data
            cdict = {'res':res, 'inv_data':inv_data, 'date':datetime.datetime.today().strftime("%d %h %Y")}
    template = get_template('app_name/html_output_template.html')
    html  = template.render(cdict)
    response = HttpResponse(html, content_type='application/force-download')
    filename = "Inv_%s.html" %(datetime.datetime.today().strftime("%d_%h_%y_%H_%M_%S"))
    content = "attachment; filename= %s" %(filename)
    response['Content-Disposition'] = content
    return response

def MyView(request):
    """Some
    Calculations
    Here"""

    if 'download_pdf' in request.POST:
        if inv_form.is_valid():
            return generate_pdf(request, res)
    elif 'download_html' in request.POST:
        if inv_form.is_valid():
            return generate_html(request, res)

    return render(request,'app_name/roll.html',context=cdict)

Sample of html template: html_output_template.html
{% load staticfiles %}

          1
          {{inv_data.description}}
          {{res.rate_per_gram}} {{res.rate_kilo_gram}}
          {{res.wgt_of_goods}}
          {{res.total_amount}}

I feel there is some problem with my HttpResponse which is getting auto corrected in Chrome and not in other browsers. I am unable to resolve this please help

redpajama_set_name: RedPajamaStackExchange


text:
Unpredictability and surprises in stock markets
(ĐTTCO) - The robust days of the global stock market seemed a thing of the past in the month of June. The main world indices such as S&P500, DJA, FTSE peaked on 8 June, and on 10 June, VN Index too reached its highest peak of 900 points. Although markets simultaneously corrected in recent sessions, there is still a fear of a second wave of the virus occurring and affecting in unpredictable ways.
Credit growth (%) compared by quarter.
Entry of new investors
As the Covid-19 pandemic spread across countries, thousands of people lost their lives and the global economy began to steadily fall into a recession, with millions of businesses going bankrupt and asking for bailouts, while thousands and thousands of workers in all countries were laid off. In all this phase, the stock market showed excitement during the boom period of the bull market, which culminated in the entry of a series of unprofessional investors who had never traded in stocks before, and who even arrogantly bragged of their profits, or smirked at the cautious approach of professional investors.
Dave Portnoy, who owns Barstool Sport and also runs a sports blog, started participating in the stock market when the US government implemented social distancing to combat the Covid-19 pandemic. Dave Portnoy had previously bought only one single stock, but what made this new investor famous was the livestreaming of all his trading activities at very high profits. More than 1.5 million people followed his live videos. This seemed like a mockery to legends such as Warren Buffett, but new investors like Dave Portnoy are right. Investment bank Goldman Sachs found that this popular portfolio was 61% profitable compared to a 45% increase in the portfolio held by other professional investment funds.
In the Vietnamese market, it is not difficult to find many such successful cases in the last two months. Stock forums are also full of braggarts, and any risk warnings are being mocked at. The new investors, called the F0 generation, are trying to prove their superiority by showing profits in tens of percentage points higher than average. For professional investors, this is a typical sign of an optimistic boom trend. However, complacency is rampant in a majority of new investors who now find it easy to make money on the stock market, often appearing at peak of bull markets.
Bleak results for second quarter
Noticeably, in the first two weeks of June, this momentum in markets slowed down. Fears and expectations of a resurgence of the disease could have been the reason. Several US states recorded an increase in the number of infected people after partial opening of the lockdown measures and fears of the disease recurring has hindered economic recovery since the first week of June.
On 10 June the VN Index reached its highest peak at 900 points, but then corrected to drop by 45 points on 17 June. The pandemic is basically under control within Vietnam borders and there are no new infections being reported. The main economic indicators such as import and export, industrial production, and retail sales in May showed positive improvements. However, achieving the same levels as before seems impossible, and that is why many businesses have not set goals because there are too many uncertain factors impacting the future.
A small but important segment of listed companies is the banking group are expected to significantly reduce profits for the second quarter. Eximbank expects its second quarter profit to be only half of the first quarter. However, EIB share price is currently at its highest level since the beginning of the year. EIB even reduced its profit target by 40% for the whole of 2020. Most large and small banks held a shareholders meeting to adjust their profit reduction. Many other businesses also proposed to shareholders to reduce their profits, such as MWG to go down 28.6%, PNJ expected to show at 30%, and HBC down to 31%. A General Report by Fiingroup in early June suggested that the Covid-19 pandemic would reduce the profitability of listed non-financial businesses in 2020 by about 12%, compared to 2019.
Statistics of first quarter business results of nearly 1,000 businesses show that revenue decreased by 4.4% over the same period, and profit after tax plummeted nearly 58%. The analysis report of securities companies is also pessimistic, saying that the market is moving a bit faster than basic valuation. Rong Viet Securities Company stated that the second quarter will record the worst business results in many fields, as well as GDP growth. This makes the market appear to be more volatile compared to the beginning of the year, when the VN Index fell only 8.5% and in the forecast basic profit per share adjusted to a negative 4% instead of 12%, as it was at the beginning of the year.
An important forecast indicator of business activities to come in the second quarter, or the rest of the year 2020, shows many difficulties, with slow credit growth rate in the first quarter to 0.68%, only reaching 2.13% in mid-June. In the interbank market, overnight interest rates from 19 May began to fall below 1%, and from 16 June at a record low of 0.17%. Interbank interest rates for a one-month term also dropped to below 1% for the first time, currently at 0.74%. This situation shows excess of liquidity in the banking system, behind which enterprises cannot absorb capital because there is no demand from production and business activities, or there is an inability to meet loan conditions.
Nguyên Hà
FTSEĐTTCOvn indexS&P500inISviruswave
Market manipulators set to devalue stocks
Bonds circulating within banks
Prohibitive price of land in Thu Thiem New Urban Area
HoSE dismisses false rumour of its leader's arrest
Vietnam important partner of UK: British legislative leader
Mass issuance of energy bonds under question
Việt Nam to contribute more to multilateral forums upon fulfilling its role at UNSC
HCMC industrial parks eye $500M investment in 2022
Renewable energy bonds extremely volatile
Concern over unrealistic hike in property prices
Việt Nam has fulfilled its role as a non-permanent member of the United Nations Security Council for the 2020-21 tenure with concrete actions to solve conflicts, protect civilians and support vulnerable groups, especially women and children, Minister of Foreign Affairs Bùi Thanh Sơn announced at a press briefing on Monday in Hà Nội.

redpajama_set_name: RedPajamaCommonCrawl


That's what the crowd was yelling as Jesus rode into Jerusalem on the colt of a donkey.
Game. set, match; the Romans are toast and Israel will once again be preeminent among all nation or will it? What thoughts were running through Jesus' mind as he rode into town that day? Knowing the crowds hearts and the purpose for which he entered that city, I am certain that such praise and adoration seemed as empty as the echo of the word off the walls of the buildings around them.
"Hosanna!" Save us from the Roman boot that enslaves us! That was what they expected, but Jesus was there for something far different and of much more importance than temporal rescue. He had come to die; God in man, without sin, would become all sin of all time of all mankind and then be killed by the cruelest execution instrument yet devised.
His apostles' hearts must have swelled with joy and hope as they saw and heard what they thought was the fruition of all about which the prophets had spoken. Being in the inner circle, I have to wonder if they imagined the glory and honors they were about to receive as Jesus' apostles. They too were in for something far different; one was to be dead within a few days by his hand; the others save one would die in various manners by the Romans they thought they were about to be rid of by Jesus.
"Hosanna," we all sang at the Chapel Hill Bible Church (and so many others around the world) this past Sunday customarily referred to as Palm Sunday, commemorating their King's return to His city.
Within a few short days, those cries of "Hosanna" would become "Crucify Him!" as they realized that He was not the Messiah they wanted, but a meek, humble Lamb come and be slaughtered. The very ones who praised him would now condemn Him; we all shake our heads at such perfidy, but I wonder. How many of us have done the same, perhaps not vocally crying for Jesus' crucifixion, but in our actions daily replicating that horrid cry?
I have; that very afternoon in fact.
We are all far too prone to obey the call of our sinful nature; thankfully for those who are in Christ those sins are all paid for by the One the crowd vilified that Thursday. All sins, of all time, of all mankind, were paid in full on Golgatha; even those this side of the cross.
Daily let us all examine our hearts in the quiet of the morning or evening and then speak with the One, who Loves us so much. Grace is beyond understanding to the twisted, sinful mind of mankind, but Grace is the answer of Heaven to our failings.
Come Home, my friend; He is waiting.


The ArTek Air Chiller from ThermoTek is a compact thermoelectric air chiller designed specifically for skin cooling for pain relief from cosmetic procedures. The ArTek Air Chiller is used to minimize pain and reduce patient discomfort during aesthetic procedures like fillers, injectables and laser treatments. It requires NO consumables and provides a hose output air temperature between O degrees Celsius and -2 degrees Celsius, with four fan speeds selectable from the front panel.
The lightweight and compact design of the ArTek Air Chiller allows it to be extremely mobile both in and out of the office. With a weight of only 59 lbs. and a significantly smaller overall footprint than competing air chillers, this system will also take up less critical working space in your treatment room.
The included table top with integrated handle can support up to 75 lbs and offers convenient location to place your accessories.
Call or e-mail us for pricing.


text:
Bemidji Weekend Blotter: 9/3-9/7
Bemidji News
The following is a summary of incidents the Bemidji Police Department and the Beltrami County Sheriff's Office responded to from Thursday, Sept. 3, to Monday, Sept. 7.
BEMIDJI POLICE DEPARTMENT
Monday, sept. 7
Property, 11:33 p.m.
Stolen vehicle recovered on the 800 block of 26th St. NW.
Disorderly Conduct, 6:58 p.m.
Request to remove an unwelcome female from a residence on the 1300 block of 3rd St. SE. Subject was removed without incident. One arrested.
Theft, 12:57 p.m.
Vehicle theft reported on the 2800 block of Pine Ridge Ave. NW.
Theft, 10:17 a.m.
Report of a stolen vehicle on the 2000 block of Paul Bunyan Dr. NW.
SUNDAY, SEPT. 6
Assist, 10:49 p.m.
Officers assisted State Patrol on a traffic stop on 18th St. and Irvine Ave. NW. Female arrested for DWI.
Assault, 7:44 p.m.
Officers responded to a report of an assault on the 500 block of Paul Bunyan Dr. NW. One arrested.
Vehicle Calls/Complaints, 4:47 p.m.
Officers responded to a report of a reckless vehicle on Paul Bunyan Dr. and Bemidji Ave. N. One arrested for DWI.
Agency Assist, 3:29 p.m.
Assist Beltrami County Sheriff's Office with reported robbery/carjacking on the 8000 block of Irvine Ave. NW. One male arrested for outstanding warrant.
Weapons Offenses, 2:50 p.m.
Burglary of a residence on 18th St. and Delton Ave. NW. Firearms stolen, suspect shot at caller. One arrested.
Theft 2:40 p.m.
Officers took a report of a burglary on the 600 block of 21st St. NW.
Suspicious, 1:19 a.m.
Oficer observed individual riding skateboard down the middle of the road on the 300 block of Bemidji Ave. N. Individual refused to provide name. One juvenile arrested.
Suspicious, 12:39 a.m.
Report of suspicious vehicle parked in the driveway on the 1100 block of 1st St. E. Officers arrested a male on several charges.
SATURDAY, SEPT. 5
Disturbing the Peace, 6:47 p.m.
Officers responded to a noise complaint on the 1100 block of Beltrami Ave. NW. One arrested for DWI.
Accident, 1:00 p.m.
Two vehicle crash on Hannah Ave. and Hiway Ave. NW. One driver fled from scene on foot. Child placed on hold for child endangerment.
Officers arrested a male for DWI and possession of a controlled substance, and a second male for warrants and possession of a controlled substance on the 2800 block of Ridgeway Ave. NW.
FRIDAY, SEPT. 4
Traffic Stop, 1:34 p.m.
Driver was placed under arrest for multiple violations on the 2400 block of Irvine Ave. NW.
Trespass, 11:49 a.m.
One arrested for trespass on the 400 block of Paul Bunyan Dr. SE.
Assault, 6:44 a.m.
Subject arrested for domestic assault on Ridgeway Ave. NW.
Officers took a report of a vehicle theft on the 1800 block of Delton Ave. NW. Vehicle later located.
THURSDAY, SEPT. 3
Suspicious, 10:05 p.m.
Officer responded to a possible attempted burglary on the 3600 block of Minnesota Ave. NW.
Officer responded to a removal on the 900 block of Minnesota Ave. NW. Male was arrested for an outstanding warrant.
Theft, 5:51 p.m.
Officer responded to a shoplifting complaint on the 2700 block of Paul Bunyan Dr. NW. Three arrested.
An officer responded to a shoplifting complaint on the 2000 block of Paul Bunyan Dr. NW. One arrested.
Stolen bicycle reported on the 1200 block of 34th St. NW.
Male arrested for kidnapping and domestic assault on Mississippi Ave. NW.
DWI, 1:02 a.m.
Officers responded to the report of possible gunshots on Beltrami Ave NW. Adult male arrested for DWI.
BELTRAMI COUNTY SHERIFF'S OFFICE
Suicide, 12:49 a.m.
Report of suicidal female, DUI arrest on Paul Bunyan Dr. and Carr Lake Rd. SE.
Suspicious, 7:45 p.m.
Stolen UTV reported on Mayflower Rd. and Highway 89 NW.
Violations/Court Orders, 5:31 p.m.
One arrested in Cass Lake.
Report of a possible carjacking on the 8000 block of Irvine Ave. NW. One arrested.
Deputy responded to the report of a suspicious person on the 4700 block of Sosua Rd. NW. Person was found to be a census worker.
Burglary, 8:15 p.m.
Suspicious activity reported on the 1500 block of Canopy Ln. SW.
Warrant, 1:34 p.m.
Deputy located the subject of an active warrant on the 5000 block of Kappes Ln. SE in Cass Lake. One arrested.
ATV, 9:15 a.m.
Stolen ATV reported on Knappen Hill and Gull Lake Loop Rd. NE.
Call handled by Leech Lake. One arrested on Scenic Highway and Cass Bluff Loop Rd. SE in Pennington.
Assist, 9:24 p.m.
Assist Cass County Sheriff's Office with located a stolen vehicle resulting in a motor vehicle pursuit. Two adult males arrested for multiple offenses on the 600 block of Lyle Chisholm Dr. NW in Cass Lake.
Report of a burglary on the 5300 block of Sullivan Dr. NW that was determined to be damage caused by the family dog who had gotten out of its kennel.
Deputies responded to the report of a stolen firearm on Pincherry Rd. NE.
Accident, 2:51 a.m.
Traffic crash on the 8000 block of Irvine Ave. NW. No apparent injuries, vehicle totaled, subject transported to ER via ambulance. Search warrant executed for legal blood draw.
Report of a burglary on the 1200 block of Little Norway Ave. SE. Unable to locate the reporting party at the residence of by phone. Crime victim's card was left at the residence with the case number.
Report of suspicious signage at a residence on the 4300 block of Bluebill Ln. NE. Deputy responded and spoke to resident. The signs turned out to be Halloween signs. All was okay.
Assist, 11:51 a.m.
Probation officer requested the arrest of a probationer who was getting released from a treatment facility on the 4800 block of Stacy Ann Dr. NW. While en route, subject fled on foot and acquired a ride. Unable to locate.
About Larissa Donovan
Larissa Donovan is the News Director for the stations of Paul Bunyan Broadcasting and has been, almost without interruption, since Election Day 2016. She covers events and issues in north central Minnesota, which include local government, crime, courts, education, environment and social issues. She studied communications at Bemidji State University and received her degree in 2018. Larissa, native to the great state of New York, grew up in Bemidji, and enjoys spending her spare time with her family and pet cat. She also loves Star Trek, punk rock music and the theater.
Uptick in overdoses linked to illegally made fentanyl
"Stand Your Ground" bill introduced in Minnesota House
Bemidji Blotter for Thursday, Jan. 14
UPDATED: Victim identified in Lake Irving drowning 4.2k views
Sharp increase in opioid deaths in Bemidji area 2.2k views
"Stand Your Ground" bill introduced in Minnesota House 1.6k views
Eight arrested after Line 3 protests Saturday 1.6k views
Four charged after two busts in Cass County 1.3k views
Bemidji Sports News
HIGHLIGHTS: Bemidji Girls' Second-Period Comeback...
Bemidji girls hockey erased a two-goal deficit in […]
HIGHLIGHTS: Fast Start Wiped Out For BHS Boys In Roseau
A goal from Ethan Maish just 3:07 into the hockey […]
Carl Adams Of Timberline Sports On Hot Ice Fishing Spots &...
As we featured last week on Paul Bunyan Country […]
HIGH NOON: Health & Sports Talks Masks In Competition...
The return of high school sports this winter has […]
The 2021 Lumberjack Radio Network Winter Broadcast Schedule...
After a prolonged wait due to COVID-19, the […]
Footer first half
Footer second half
© 2020 HBI Radio Bemidji, LLC d/b/a Paul Bunyan Broadcasting 502 Beltrami Ave NW, Bemidji, MN 56601 This website is not intended for users located within the European Economic Area


Remember how it used to be so embarrassing to tell your friends, family, and acquaintances that you met your significant other online? Well, imagine the reaction you'd get when telling them you matched with a birth family through Facebook.
Believe it or not, as the adoption community grows, more and more placements are happening as a result of Facebook groups and online communities. Noah and I found one of our birth mom's through one of these groups, as did today's guest, adoptive mom Natalie.
By doing some of the leg work in finding a match yourself, you can often get a discount from your agency (although that can vary), and can sometimes speed up the process of finding a birth family.
In this episode of ADOPTION NOW, Natalie shares how her and her husband, Stephen adopted their daughter from a birth mom whose mother they initially connected with on Facebook. Now the birthmother is pregnant again. Will they choose to keep the siblings together?


text:
ThirdEye Gen Launches AR SmartGlasses
By Rebecca Hills-Duty	 Last updated Aug 3, 2017
There has been a recent rise in the use of augmented reality (AR) smartglasses for use in business environments such as manufacturing, quality control and warehousing. Google have begun to tap this market with the re-launch of Google Glass, as have Vuzix with the M300 smart glasses system. US company ThirdEye Gen is also hoping to enter this area with the launch of the X1 Smartglasses.
ThirdEye Gen developed the product using experience gained when working with the US Department of Defence on AR hardware and software. The X1 smartglasses system has a 1280x720p binocular display and the developers say its compact form factor allows the smartglasses to be comfortably worn while working.
The X1 smartglasses app uses a hands-free control system which allows users to control the software using the motion of the head, instead of needing a separate controller, or a smartphone or tablet. The software was developed in-house by ThirdEye, and has a Cloud-based component allows users to easily share with colleagues for collaboration or save for later reference.
The company have developed to software for the X1 Smartglasses to be modular, to allow for specific customisation depending upon the client. For example, for law enforcement applications real-time image recognition can be enabled; for Universites, livestreaming of lectures along with AR notes from the professor. ThirdEye are also working on custom educational content for integration with the X1 smartglasses, such as 3D AR renderings of the course curriculum, or interactive tours of the campus.
ThidEye are planning to have a booth at the AR section of CES 2018, which is due to take place on 9th-12th January, 2018.
Further information can be found on the ThirdEye website.
VRFocus will continue to bring you news on new and innovative AR products.
ThirdEyeX1 Smartglasses
Rebecca Hills-Duty 3015 posts 0 comments
Staff Writer at VRFocus who helps bring the news to your screens. Rebecca comes from a background in technology and computing and has been a gamer and console collector since the days of the Commodore 64. She also hosts a weekly gaming related radio show on RadioSEGA.


Autism is characterized by many different symptoms: difficulty interacting with others, repetitive behaviors, and hypersensitivity to sound and other stimuli. MIT neuroscientists have put forth a new hypothesis that accounts for these behaviors and may provide a neurological foundation for many of the disparate features of the disorder.
The researchers suggest that autism may be rooted in an impaired ability to predict events and other people's actions. From the perspective of the autistic child, the world appears to be a "magical" rather than an orderly place, because events seem to occur randomly and unpredictably. In this view, autism symptoms such as repetitive behavior, and an insistence on a highly structured environment, are coping strategies to help deal with this unpredictable world.
The researchers hope that this unifying theory, if validated, could offer new strategies for treating autism.
"At the moment, the treatments that have been developed are driven by the end symptoms. We're suggesting that the deeper problem is a predictive impairment problem, so we should directly address that ability," says Pawan Sinha, an MIT professor of brain and cognitive sciences and the lead author of a paper describing the hypothesis in the Proceedings of the National Academy of Sciences this week.
"I don't know what techniques would be most effective for improving predictive skills, but it would at least argue for the target of a therapy being predictive skills rather than other manifestations of autism," he adds.
The paper's senior author is Richard Held, a professor emeritus in the Department of Brain and Cognitive Sciences. Other authors are research affiliates Margaret Kjelgaard and Sidney Diamond, postdoc Tapan Gandhi, technical associates Kleovoulos Tsourides and Annie Cardinaux, and research scientist Dimitrios Pantazis.
Sinha and his colleagues first began thinking about prediction skills as a possible underpinning for autism based on reports from parents that their autistic children insist on a very controlled, predictable environment.
Most people can routinely estimate the probabilities of certain events, such as other people's likely behavior, or the trajectory of a ball in flight. The MIT team began to think that autistic children may not have the same computational abilities when it comes to prediction.
This hypothesized deficit could produce several of the most common autism symptoms. For example, repetitive behaviors and insistence on rigid structure have been shown to soothe anxiety produced by unpredictability, even in individuals without autism.
"These may be proactive attempts on the part of the person to try to impose some structure on an environment that otherwise seems chaotic," Sinha says.
Impaired prediction skills would also help to explain why autistic children are often hypersensitive to sensory stimuli. Most people are able to become used to ongoing sensory stimuli such as background noises, because they can predict that the noise or other stimulus will probably continue, but autistic children have much more trouble habituating.
"If we were unable to habituate to stimuli, then the world would become overwhelming very quickly. It's like you can't escape this cacophony that's falling on your ears or that you're observing," Sinha says.
Autistic children also often have a reduced ability to understand another person's thoughts, feelings, and motivations — a skill known as "theory of mind." The MIT team believes this could result from an inability to predict another person's behavior based on past interactions. People with autism have difficulty using this type of context, and tend to interpret behavior based only on what is happening in that very moment.
"This is not the first theory to explain the complex of symptoms we see every day in our clinical programs, but it seems to explain more of what we see than other theories that explain individual symptoms," says Rappaport, who was not involved in the research.
The researchers believe that different children may show different symptoms of autism based on the timing of the predictive impairment.
The hypothesis also predicts that some cognitive skills — those based more on rules than on prediction — should remain unharmed, or even be enhanced, in autistic individuals. This includes tasks such as math, drawing, and music, which are often strengths for autistic children.
A few previous studies have tried to pinpoint which parts of the brain are involved in making predictions. So far, the strongest candidates are the basal ganglia, the nucleus accumbens, and the cerebellum — structures that are often structurally abnormal in autistic patients. "It's a very tentative connection at the moment, but I think this is a fruitful line of inquiry for the future," Sinha says.
The research was funded by the Simons Center for the Social Brain at MIT and the Simons Foundation Autism Research Initiative.


text:
Gates looks for Iraqi leadership
US defence secretary seeks broad US-Iraq partnership with Iraqi government at helm.
Pressure is on Gates to decide whether to return the 140,000 US troops home or to inject more into Iraq
"We've talked with the Iraqis about the best path forward in terms of improving the security situation here in Baghdad.
"And I think we have a broad strategic agreement between the Iraqi military, and the Iraqi government and our military."
Al-Sadr dilemma
Tensions exist over al-Maliki's wishes to include Moqtada al-Sadr, the Shia leader, into the unity coalition, despite US attempts to sideline him.
"This is a country that is worth the investment, because once it emerges as a country that is a stabilising factor, you will have a very different kind of Middle East"
Condoleezza Rice,
US Secretary of State
US officials have made it clear that they favour realignment in Iraq's unity government, which would exclude al-Sadr and his Shia movement, with the violence of Iraq's vicious sectarian war at an all time high.
Last month, al-Sadr appeared to have helped US officials angling for an end to his influence by withdrawing 32 MPs and six ministers from the coalition in protest at al-Maliki's decision to meet Bush for talks in Jordan.
However, Iraqi politicians met al-Sadr's allies in Najaf, in order to encourage him back into the coalition.
Nasser al-Rubaie, the leader of Sadr's parliamentary bloc, said, "the Shia coalition has put in place a committee to discuss the al-Sadr return to parliament and to government".
'Worthwhile' war
Meanwhile, Condoleezza Rice, the US secretary of state, has said Iraq should be seen as the focus of US policy in the Middle East.
"There have been plenty of markers that show that this is a country that is worth the investment, because once it emerges as a country that is a stabilising factor, you will have a very different kind of Middle East".
George Bush, the US president, has said he will announce a new strategy in January after listening to the advice of his military commanders, State Department officials, Iraqi leaders and Gates, who said he would report back to the president this weekend.
In recent months, many of those advising the White House, including Tony Blair, the British prime minister, and the Iraq Study Group, have suggested that the Arab-Israeli conflict is the real key to peace in the region.


text:
Lettuce can be booked through this site. Lettuce entertainment booking site. Lettuce is available for public concerts and events. Lettuce can be booked for private events and Lettuce can be booked for corporate events and meetings through this Lettuce booking page.
Unlike most middle agents that would mark up the performance or appearance fee for Lettuce, we act as YOUR agent in securing Lettuce at the best possible price. We go over the rider for Lettuce and work directly with Lettuce or the responsible agent for Lettuce to secure the talent for your event. We become YOUR agent, representing YOU, the buyer.
In fact, in most cases we can negotiate for the acquisition of Lettuce for international dates and newer promoters providing you meet professional requirements.
Lettuce Biography
"This album is a tribute to all the funk greats. We all grew up through the evolution of funk into hip-hop, hearing the original versions as well as the sampled versions. Our versions incorporate both." - guitarist Eric Krasno
"A lot of us work on mainstream music, but this record is as non-commercial as it gets. We did it for the love, and you can hear that come through the music." - guitarist Adam "Shmeeans" Smirnoff
"We called the record Rage! because that's what we do. We're ragers and that's how we got started … by raging." - bassist Erick "E.D." Coomes
Lettuce, the seven-person all-star collective originally formed in 1992, returns to the funk jazz forefront with its third album, RAGE!, a hyper-charged outing of tunes that are equal parts artsy and party. The CD is a tantalizing tribute to funk music — paying homage to all stripes of funksters, including James Brown, Sly Stone, Herbie Hancock, Tower of Power, the Meters, Earth Wind & Fire, Parliament Funkadelics, J Dilla—music that reflects "our way of life," says bassist Erick "E.D." Coomes, who is joined in the groove onslaught by his co-ragers: keyboardist Neal Evans, saxophonists Sam Kininger and Ryan Zoidis, guitarists Eric Krasno and Adam "Shmeeans" Smirnoff, and drummer Adam Deitch.
Lettuce sprouted in the fertile environment of Berklee College of Music in Boston where all members met at a summer music program when they were in their teens. "I hate to sound cheesy, but I fully feel it was destiny that this band came together," says Krasno. "We were all in the same place, all the same age. None of the friends I grew up with were into music like I was. Then I went to Berklee that summer, and all these guys were into music the way I was, and it happened that we were all playing the right instruments to put together a band."
All the members brought to the group different funk-styled influences. For example, Krasno was into the new jazz funk of Herbie Hancock, Deitch was raised on Tower of Power and Earth Wind & Fire and introduced that sound through his compositions to the band. Zoidis recalls, "We all lived in the same dorm and we each brought music to the table that the others hadn't heard before. There was an ensemble room downstairs that we began playing in." Krasno adds, "We did a lot of jamming after we did a lot of listening."
Two years later, in the fall of 1994, all Lettuce members, who had remained in contact with each other, returned to Berklee as full-fledged undergrads and picked up right where they left off. They were fond of showing up with their instruments at underground jazz clubs like Wally's (usually at other musicians' gigs) and asking, "Will you let us play?"— hence the birth of the name Lettuce. "We never thought that name would stick," says Krasno, "but we just never got around to changing it."
"We knew we had an great musical chemistry, and sure enough, when we finally got up on stage, the party starting getting incredible," says E.D. "We didn't really plan on taking over, but by the end of the evening all the Lettuce guys were up on stage and all the guys from the other band were gone. And then we'd play until close."
It was onward and upward from there, with Lettuce issuing various tapes sold at their live shows and eventually recording two CDs (2001's Outta Here on Velour and 2003's Live in Tokyo, released on Velour in Japan and stateside on Kufala Records). Strong fan bases grew up in New York, San Francisco, Chicago and Tokyo. "It became pretty happening," says Zoidis. "Not bad for a band that didn't have any TV or radio play. Pretty much all of our success came by word of mouth."
While the collective has been playing consistently since its founding, averaging three or four times per year, each member of Lettuce has branched out into various other projects. Krasno and Evans founded the band Soulive, and Kininger and Zoidis toured with band as the Soulive Horns. Kininger fronts his own group, while Zoidis is in the successful Portland, Maine-based rock band Rustic Overtones. Deitch works as a session and touring drummer and producer, with his support-team resume including John Scofield and Wyclef Jean. He's gone on to produce songs with Krasno for top artists such as 50-Cent, Talib Kweli and Redman. Shmeeans plays with Robert Randolph and the Family Band, and E.D. has laid down bass lines for The Game, DJ Quik, Britney Spears and others.
"We all have different projects, but Lettuce is an outlet for all of us," says Krasno. "It's a great excuse to hang out and have fun. It's always been that way. Plus, we all challenge each other in ways where we all get better. We play new tracks; we learn new things. We inspire each other."
On Rage!, the band's collective sensibility has taken on more depth. "Being apart from each other as much as we have, we've come back together with a new maturity," says Shmeeans. "We've grown as writers and players and we're much better when it comes to using space." Krasno concurs: "If you listen to our early recordings, there's so much going on all at once. With the newer stuff, there's definitely more space, more relaxed playing, more skill. On Rage! no one's overplaying. It's all tasteful."
Krasno also points out that with Outta Here, there were no rehearsals. They all just showed up at the studio and played. This time, the group spent two days rehearsing, with different members bringing in music to experiment with. Then there was the sound factor. "We wanted the record to sound like the old stuff we were paying tribute to," says E.D. "So we recorded with an old board, old mikes, old tube compressors."
As for the wide range of funk Lettuce dives into on Rage!, E.D. cites two factors: the deaths in 2006 of both James Brown and J Dilla. "That's when we decided to tip our hats to every style of funk," he says. In addition to groove-steeped originals, Lettuce delivers two covers: Curtis Mayfield's "Move On Up," with guest vocalist Dwele, and "Express Yourself," with vocals by Kininger. It's music that represents "a new era," says Krasno. "We blend the old school with the new. We take solos but we also vamp on two-bar loops." Lettuce is a group that takes its dedication to the music seriously – as Deitch says, "Know your history and take it somewhere."
What kind of expectations does the band have for the new CD? "Hey, it's all about having fun," Krasno says. "It's all about good friends getting together to play the kind of music that made us all want to become musicians. We don't have any real expectations. DJs can play this. Jazz fans will like it. People will hear it and hopefully dig it. We're just hoping that this album will appeal to a lot of different kinds of people, and the funk will live on."
Book Lettuce here!
Book Lettuce for your next event! Would you like to have Lettuce perform at your next corporate event, party or concert? Simply fill out the simple interest form below, and we'll start the booking process.
Lettuce Booking Agent
Julie Fowlis booking agent | Avalon booking agent | Bo Bice booking agent
40 Points booking agent | Audio Adrenaline booking agent | Trisha Yearwood booking agent


This years winner will receive an eL jersey of their choice, courtesy of Foot.ie.
So did adam carr win a jersey last season?
Yeah I did! Im holding off till the new season though!
You going to get one of those lovely new balck ones?
I wouldnt go near them. Im gonna get one of those lovely new white ones!
I'm moving apartments shortly adam, so ffs don't hit me up for this jersey just when I've handed over the deposit.
He's a Cork fan - when else would he kick a guy!
As opposed to stabbing him is it???
Did you wait exactly a year before posting that?
He was a day out !!!
Didn't even notice....damn it anyway!
Is their a prize this year?
Don't see why not. No-one has actually collected a prize yet!
Wexford Youth FC - International Supporters Club Member!
Years supply of larger for winning the cup by any chance?
How fat you planning on getting? Old Pat Dolan levels?
I don't want that prize!!!


Wide skirt in black with sequins allover.
Vid kjol i svart med paljetter.
Christy dress; straight cut dress in powder pastel color, puffy sleeve from elbow.
SIONA dress in black with a wide stripe in off white at end of skirt and sleeves.
Skirt in faux suede - black.
Skirt in faux leahter - color bordeaux.
Sparkling jacket with sequins allover.
Chic top in color wine with heart print.
Classy blouse; standing collar, frills in front.
Straight cut chic pants in black faux suede.
Navy sleeveless top with frills on shoulder.
Black sleeveless top with frills on shoulder.
Superb Leo dress! Straight cut, puffy sleeve from elbow.
Slim leggings with a bow at ankle.
Our sparkling BLING top is made for parties!


text:
Who's in TAG? Click to find out!
How TAG Began: Our History
After recognizing the underrepresented market of programming for teenagers at Lebanon Public Library, Ms. Racheal Schlein gathered a group of dedicated students in the fall of 2018. Starting from a handful of students to steadily growing with each year, TAG has become a rag-tag group of teen advocates from different walks of life.
What TAG Means to Me...
Racheal Schlein
Juvenile Services Coordinator of
Lebanon Public Library;
TAG Advisor
"If you ever feel like you don't know where you belong, you belong at Lebanon Library. Every individual's skills and personality are accepted and valued. All of our staff comes from a unique background and brings a different skill set to the team, which makes everything we do at the Library possible. I hope every person in TAG feels this sense of belonging, and that we are able to work together as a group to make sure that every other teen who comes into this Library feels that, too."
- Racheal Schlein
Teen Advisory Group is committed to advocating for what teens in the community would like to see in the library. We will be your reflections with originality and sincerity.


text:
Tulsi Gabbard and the Cost of Exposing American Militarism
Major Tulsi Gabbard of the Hawaii Army National Guard at the ceremony at which she was promoted from the rank of captain. She is the serving representative for Hawaii's 2nd congressional district
Tulsi Gabbard, one of the candidates competing to be the Democratic Party's nominee for president, has been particularly prominent in the American and global news media over the past few days. Her views in relation to America's enduring policy of effecting "regime change" in foreign nations has provoked a storm of controversy in her country, bringing forth bitter criticism. Gabbard has even been denounced as a "Russian asset" for arguing against American interventionism. The furore is quite revealing on several levels. For one, it yet again exposes a shocking embrace for interventionist wars by members of the liberal elite. It also reveals a disturbing tactic utilised by politicians and the mainstream press to label those who do not toe the establishment line on military policy as traitorous. Above all, it also exposes a fundamental defect in the American political discourse; that is the lack of a genuine national dialogue on the underlying reasons for the drift towards American militarism after the end of the Cold War, and the entrenchment of this militarism after the attacks of September 11th 2001.
To get to the heart of the matter as I see it, Tulsi Gabbard is one of the few high profile American politicians to have addressed the publically undebated phenomenon of America's endless wars. The United States has never had a public debate related to what retired General Wesley Clark referred to as "a policy coup" in the immediate aftermath of the attacks of September 11th at which point according to Clark, a group of "hard-nosed people took control of policy in the United States."
Since then, America, under the auspices of the North Atlantic Treaty Organisation (NATO), has attacked Iraq under false pretences, engineered the destabilisation of Libya and sought to do the same to Syria. The modus operandi utilised against both Libyan and Syrian governments; like Saddam-era Iraq secular in nature, was through Islamist proxies, that is, militias professing the ideology of those claimed to have been responsible for the 9/11 atrocities.
The amorality of these tactics and techniques are never seriously questioned in the media and by legislative institutions even though they have been conducted in plain view such as the visits to eastern Libya and Syria by the late Senator John McCain or where admissions have been made by high-profile politicians such as former Vice President Joseph Biden and former Secretary of State Hilary Clinton who revealed the help given by America's regional allies to Jihadist groups.
In identifying the pattern of "regime change wars" in which she has served in the US Army, Gabbard has presented an opportunity for America to come to grips with the underlying reasons for the germination of this militarism which has been fueled to a large extent by the military industry and lobbies associated with the State of Israel.
But this cannot be achieved where the modus operandi of her political opponents and journalists working for the mainstream press constrict the parameters of debate by not only propagating false narratives of how America's recent wars have been initiated, but also by smearing those who advocate a fresh approach to American policy. Just as Donald Trump's announced intention to seek a rapprochement with Russia was met by the weaving of the false narrative of "Russia-gate" which included allegations of collusion with the Russian state to undermine the democratic process, Gabbard has been referred to as a "Russian asset".
That the use of a smear involving Russia can still have any currency after the thorough debunking of "Russia-gate", which any objective researcher would have known from the outset had little merit, demonstrates how once again political tribalism and geopolitical illiteracy, both facilitated by mainstream media propaganda, have triumphed over reason.
To her credit, Gabbard has hit back at what she described as "a concerted campaign to destroy my reputation." And in issuing a stern rebuke to Hilary Clinton who had made a veiled reference to Gabbard as a candidate being groomed by the Russians to run as a third party candidate, she identified what she described as Clinton's "proxies and powerful allies in the corporate media and war machine" as been at the root of these smears.
The significant word used by Gabbard is "corporate". For it addresses the question of the control exerted on US politicians by corporate entities linked to Wall Street and the military industry who fund them. These interests also clearly have the ability to influence the corporatised American media which today is dominated by five corporations.
So compromised is the mainstream media and the politicians that the American public have never been given a comprehensively articulated picture of the origins of America's post-Cold War militarism in terms of conception and chronology. This would necessitate a reference to the application of the "Wolfowitz Doctrine", by which is meant the policy objective after the fall of the Soviet Union of aggressively deploying America's military resources to reshape the world during the ensuing power vacuum before the emergence of a global competitor.
It would also involve a careful scrutiny of the tentacles of the military industry, as well as a precise and frank inquiry into the workings of the "Deep State". It is clearly the case that the policy of war has been an essentially unchanging one from one administration to the next. Thus, Michael J. Glennon, a professor of international law at Tufts University, has posited a scenario in which actors belonging to what he terms "Trumanite" institutions have usurped power from the trioka of "Madisonian" institutions of state, the latter which he argues are no longer accountable in the manner people think they are.
The time is long overdue for a national dialogue in which politicians, journalists and academics address this fundamental shortcoming of American foreign policy: that the purpose of the military is to deter conflict and not to start wars by invading countries and instituting regime change by covert means. Failure to do this only serves to perpetuate the costs to America, both in terms of adding to its spiralling sovereign debt and the undermining of its moral prestige and authority among the global community of nations.
Adeyinka Makinde is a writer based in London, England.
Kimmie 21 October 2019 at 05:41
I'm a vet and Republican but support Major Gabbard who gets it hey warran AOC burka one can't remember her name and Shumer Pelosi you go put your ass out there and fight no you won't and would run and leave your platoon screwed it's over you just don't get it and most Americans and Russians want peace get married have job kids and home and a gas engine vehicle you elitist fools were not traitors but Trump and Putin are right your wrong I would vote for Putin before Warren or Sanders or the idiot Beto wife's account not her opinions
Denis. 22 October 2019 at 12:32
Whilst not an admirer of Gabbard with regard to her admiration of Mohdi, when it comes to regime change, that globalist poison, i agree with her entirely.
The Enduring Fela - "Alu Jon Jonki Jon"
Tulsi Gabbard and the Cost of Exposing American Mi...
Muammar Mohammed Abu Minyar Gaddafi (1942–2011)
"No Angels": Kurdish Militias, "Betrayal" and the ...
Colonel Shittu Alao (1937-1969)


The Merge Down command merges the active layer with the layer just below it in the stack, taking into account the various properties of the active layer, such as its opacity and layer mode. The resulting merged layer will be in Normal mode, and will inherit the opacity of the layer below. If the layer below is not opaque, or if it is in some mode other than Normal, then this command will generally change the appearance of the image.
The most common use of Merge Down is to construct a layer, by starting with a "base layer" (usually opaque and in Normal mode, so that you can see what you are doing), and adding a "modification layer" on top of it, with whatever shape, opacity, and layer mode you need. In this case, merging down the modification layer will combine the two layers into one, without changing the way the image looks.
You can access this command from the image menubar through Layer → Merge Down.


My sister is a Software Professional with a Bachelor's degree currently working in Private sector in Pune. We belong to middle class, Nuclear family with Liberal values.
My sister is Puntual & hardworking. She is good looking & working in IT company in Nagpur.In our Family there are Five members Mummy, Papa & three sisters. Rinku is middle . Elder Sister Got Married in Mumbai. Younger Sister is BE in Nagpur.
My daughter has a Bachelor's degree and she is currently based in Bangalore. We come from an Upper middle class, Nuclear family background with Liberal values.
My relative has a Bachelor's degree and she is employed in Private Sector as a Banking Service Professional currently based in Indore. She belongs to a Middle class, Nuclear family with Moderate values.
My name is Anuj Sharma. I come from a Upper middle class, Nuclear family with Liberal Values. I have completed my BE and currently work in the Government Sector as a Software Professional.
I am a Banking Service Professional with a Bachelor's degree currently working in Private sector in Nashik. I come from a Middle class, Nuclear family background with Liberal values.
This is Sumit. I belong from a Hindu kashmiri family. I work and live in Pune. I work for an American MNC in Pune. I have carried out my work assignments in Mexico. Looking for an understanding partner.


outdoor table and umbrella panama jack beach patio furniture panama jack island breeze.
bedroom king sets lovable king size bedroom sets best king size bed sets furniture best king bedroom furniture.
curtain rod for patio door outstanding patio door width curtain rod decorating styles defined.
plastic mixing bowl with handle nesting set of 8 plastic bowls with thumb hole handle and spout mixing salad.
roll up door locks self latching sliding door lock inspirational roll up door lock roll up door lock suppliers and.
c table with storage medium size of side c table with storage space.
storage panorama city for rent commercial logistics storage space center.
reciprocating fan oscillating pedestal fan with remote control.
electric pressure cooker 6 qt programmable pressure cooker the instant pot electric pressure cooker cookbook instant pot 6 qt.
mini battery powered fan battery powered fan target battery power fan 3 speed adjustable mini desktop fan rechargeable battery operated.


A Pre-Doc Fellow is someone who is working toward their Doctoral degree. A Post-Doc Fellow has already attained a Doctorate.
Pre & Post Doc Fellow salaries are determined by the hiring unit. Salary must meet the Academic Professional minimum.


A shower in boiling water can work wonder by providing you a fit and healthy body as a recent study shows that hot water bath can improve inflammation and blood sugar levels.
In case you do not want to exercise or are unable to exercise, a hot bath treatment can be of great help to improve inflammation and blood sugar levels, finds a new study. Under this study, the scientists specifically studied the markers of inflammation, blood sugar and insulin levels in a group of men who were overweight and led a sedentary lifestyle.
According to the scientists, physical stress like exercise can enhance the level of an inflammatory chemical (IL-6) that activates the release of anti-inflammatory substances for combating unhealthily high levels of inflammation, also known as chronic low-grade inflammation, highlighted a recent media report. The study focused on a trial that involved volunteers going for a hot bath immersion as well as ambient room temperature control separated by a gap of three days.
Following the trial, the scientists took a resting blood test after the members had rested in a room with temperature of 27-degree C for 15 minutes. After that, the volunteers either stayed seated in the same room or went in for a boiling water shower for 60 minutes.
expression of heat shock protein 72 – another protein known to be vital for health. It also results in reduction of fasting blood sugar and insulin levels along with improved low-grade inflammation at rest due to which there was decreased inflammation and improved insulin sensitivity.
"In the future, we hope to extend this research to populations that may most benefit from passive heating interventions, such as the elderly or people with disabilities that restrict them from engaging in exercise," he added, according to the report. The study has been published in the Journal of Applied Physiology.


ANAONDA SNAKE DESIGN HEAVY STERLING SILVER 925 BRACELET NEW / RARE !
With their long and flexible bodies, the creatures in our Anaconda Snake Bracelet slither their way into your style. Two animals battling it out for possession of a polished silver ring - this accessory tells its very own story. It has an alluring elegance created by the polished surface and intricate detailing throughout.
Made from solid sterling silver, this luxurious pendant has a premium weight. The simple T-bar fitting holds the entire piece in place throughout the day and flexes along with the chain for comfort. For the man with the style and confidence to break the mold when it comes to his jewellery.


I am interested in 19 Rockwood Lane Spur, Greenwich, CT 06830.
This gracious colonial with outstanding curb appeal is nestled on nearly two acres of manicured lawns and flower gardens on a quiet cul-de-sac in the heart of Greenwich's ''Golden Triangle'', minutes from schools and downtown Greenwich. The wonderfully proportioned and light filled rooms are highlighted by a fabulous kitchen/family room with two story ceilings, fireplace and double French doors leading to the beautiful flagstone terrace and stunning pool house perfect for either family gatherings and entertaining or a professionally equipped office. Extra bonuses include house-length third floor and two outside showers by pool house.


Each council will aim to meet three times a year, twice with Theresa May and once with a senior cabinet minister, to provide high-level advice and policy recommendations on the critical issues affecting business. The councils will also be a forum for government to share developing policy ideas and seek the views of members.
Infrastructure, construction and housing will be covered by the Industrial, Infrastructure and Manufacturing Committee, which will be co-chaired by Sir Roger Carr (Chairman, BAE Systems) and Ian Davis (Chairman, Rolls Royce). Stephen Phipson (Chief Executive Officer of the EEF) will be the business group representative.
May said: "The UK has always been one of the best places in the world to do business and is a leader in sectors from advanced manufacturing to the creative industries.
"Brexit presents a huge opportunity to build a better, stronger economy for people all over the country. So I've asked these new councils to advise us on the opportunities and challenges facing business as we shape the UK for the future."
Carr said: "Companies in the industrial, manufacturing and infrastructure sectors are the backbone of the economy and amongst our largest employers. We are a vital part of the wealth creating machinery of the country where improved training, productivity and exporting will be the cornerstones of our global success. Engaging with the Prime Minister to tackle these issues in a focused and practical manner is a welcome and important step forward in achieving our collective growth ambitions."
May is due to welcome the co-chairs at Downing Street for the first time today, when she will set out their objectives and they will discuss cross-cutting issues such as productivity and international investment.
Jones said: "The overwhelming majority of businesses in the UK are small and they are the heart of our economy – so I'm pleased that their voice is formally being recognised in these councils. I'm looking forward to representing these entrepreneurs and innovators and discussing their unique perspective with the Prime Minister."
The business councils will provide the Prime Minister and her ministerial team with regular, high-level advice and policy recommendations on critical issues affecting business that will enable companies to invest, grow and succeed in the UK once it leaves the European Union.


text:
Philip Taaffe, Untitled III, 1983. Linoprint collage on muslin on canvas, 103 × 87 × 5 inches (261.6 × 221 × 12.7 cm). Gift of Sandra and Gerald Fineberg. Courtesy the artist and Luhring Augustine, New York. © Philip Taaffe
Linoprint collage on muslin on canvas
103 x 87 x 5 inches (261.6 x 221 x 12.7 cm)
Philip Taaffe has forged an unorthodox approach to painting, employing linocuts, paint, and canvas to produce exotic and compelling images that bring to mind Matisse's cutouts or Synthetic Cubist collage. Emerging during the 1980s alongside such painters as Ross Bleckner, Peter Halley, and Lari Pittman, Taaffe was initially positioned in line with the Pattern and Decoration artists of the late 1970s. The "abstract assemblage" work of these artists ran counter to painters such as Julian Schnabel and Francesco Clemente, who returned to the figure in their large-scale paintings. In his paintings from the 1980s, Taaffe appropriates motifs and gestures from abstract painting: one discovers gestures quoted from Ellsworth Kelly, Barnett Newman, Jackson Pollock, and Bridget Riley.
Untitled III makes a particular nod to Riley's use of black-and-white lines to create optical effects. Composed of striped, linoprinted paper, the work is a collage. Taaffe has cut or torn sheets of paper and then joined them to seamlessly craft unbroken lines. Created with no actual paint, Untitled III is an early work by Taaffe and demonstrates his experimentation with appropriated material—in this case, printed paper—to create singular works in dialogue with painting. The work's surface creates undulations that generate striking visual effects.
Taaffe's Untitled III makes a significant contribution to the museum's modest collection of large-scale paintings. It joins works by other iconic artists of the 1980s, such as Dara Birnbaum, as well as major paintings by artists like Kai Althoff and Lucy McKenzie.