text:
\section{Introduction}
In  \cite{DOT}, Y.Deng, M.O'Brien and V.G.Troitsky introduced the disjoint weak Banach-Saks property (abb. DWBSP)  in the Banach lattice. Recall that a Banach lattice $E$ has the disjoint weak Banach-Saks property if, every disjoint weakly null  sequence in $E$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $E$, as examples of such Banach lattices we have $\ell_1$ and $L_p(c_0)$ (see \cite{DOT}).

In this paper we introduce the so called disjoint weak Banach-Saks operator from a Banach lattice $E$ into a Banach space $X$. Our definition is based on the disjoint weak Banach-Saks property. Mainly, in the Proposition \ref{caract_typeconv} we establish some characterizations of this class of operators by different types of convergence, and in the Proposition \ref{cor02} we give a characterization of this class of operators by positive weakly null sequences. Consequently, we give a new characterization of the disjoint weak Banach-Saks property. Also, we give a generalization of Proposition  6.9 \cite{GTX} and of Propositions 6.15 \cite{GTX} . Furthermore, we study the relationship between this class of operators  and that of weak Banach-Saks operators (resp; almost Banach-Saks operators, order weakly compact operators and weakly compact operators).
\section{Preliminaries and Notations}
To state our results, we need to fix some notation and recall some definitions. Let $E$
be a vector lattice. In a Riesz space, two elements $x$ and $y$ are said to be disjoint (in
symbols $x\perp y$) whenever $|x|\land |y| = 0$ holds. In a Banach lattice every order bounded disjoint sequence converges weakly to zero \cite{AB1}. For each $x, y \in E$ with $x \leq y$, the set $[x, y] = \{z \in E: x \leq z \leq y\}$ is called an order interval. A subset of $E$ is said to be order bounded if it is included in
some order interval. Recall that a nonzero element $x$ of a vector lattice $E$ is discrete
if the order ideal generated by $x$ equals the subspace generated by $x$. The vector
lattice $E$ is discrete, if it admits a complete disjoint system of discrete elements.
A Banach lattice is a Banach space $(E,||.||)$ such that $E$ is a vector lattice and
its norm satisfies the following property: for each $x, y\in E$ such that $|x| \leq |y|$, we
have $\|x\| \leq \|y\|$. If $E$ is a Banach lattice, its topological dual $E'$, endowed with the
dual norm, is also a Banach lattice.  A Banach lattice $E$ is order continuous, if for each generalized sequence $(x_{\alpha})$ such that $ x_{\alpha} \downarrow 0$ in $E$, the sequence  $(x_{\alpha})$ converges to $0$ for the norm $\|.\|$ where the notation $ x_{\alpha} \downarrow 0$  means that the sequence $(x_{\alpha})$ is decreasing, its infimum exists and $\inf(x_{\alpha}) = 0$.

 An order continuous Banach lattice $E$ is said to have the subsequence splitting property if for any norm bounded sequence $(x_n)$  there exist a subsequence $(x_{n_k})$ of $(x_n)$ and two sequences $(y_k)$ and $(z_k)$ such that $x_{n_k}=y_k+z_k$, $(y_k)$ is almost order bounded, $(z_k)$ is pairwise disjoint and $y_k \perp z_k$ for all $k$ (see \cite{GTX}).

 A vector lattice $E$ is said to be $\sigma-$laterally complete, if the supremum of every
disjoint sequence of $E^+$ exists in $E$.

 A Banach space is said to have the Schur property, whenever every weakly convergent sequence is norm convergent.

Recall from \cite{AB1} page 345 that a Banach lattice is said to have weakly sequentially continuous lattice operations whenever $x_n \overset{w}{\longrightarrow} 0$
implies  $|x_n| \overset{w}{\longrightarrow} 0$. Every$AM-$space has this property. Also,
any Banach lattice with the Schur property has weakly sequentially continuous lattice operations.

A net $(x_{\alpha})$ of a vector lattice $E$ is said to be uo-converge (abb. uo-convergent) to $x$ if $(|x_{\alpha}-x| \land u)$ converges in order to zero  for every $u\in E^+$; we write $x_{\alpha}\overset{uo}{\longrightarrow} x$. We mention that order convergence implies uo-convergence and they coincide for order bounded nets. We note that every disjoint net is uo-null (see \cite{GTX}).

 A net $(x_{\alpha})$ of a vector lattice $E$  is said to be an unbounded norm convergent (abb. un-convergent) to $x$ if $(|x_{\alpha}-x| \land u)$ converges to zero  for every $u\in E^+$; we write $x_{\alpha}\overset{un}{\longrightarrow} x$. The example 2.6 of \cite{DOT} shows that a disjoint sequence need not be un-null.

 A net $(x_{\alpha})$ of a vector lattice $E$  is said to be unbounded absolute weakly convergent (abb. uaw-convergent) to $x$ if $(|x_{\alpha}-x| \land u)$ converges to zero weakly for every $u\in E^+$; we write $x_{\alpha}\overset{uaw}{\longrightarrow} x$. Every absolute weakly convergent net is uaw-convergent. But the converse is not true in generale. The absolute weakly convergence coincides with uaw-convergence  for the order bounded nets (see \cite{OZ}). We note that every disjoint net is uaw-null (\cite[Lemma 2]{OZ}).

A Banach space $X$ has the weak Banach-Saks property if every weakly null sequence $(x_n)$ in $X$ has a subsequence $(x_{n_k})$  whose Ces\`{a}ro sequence $(\frac{1}{m}\sum^m_{k=1}x_{n_k})$ is norm convergent to zero.

 A subset $A$ of a Banach lattice $E$ is an \textbf{almost order bounded }if for any $\varepsilon > 0$ ther exists $u\in E^+$ such that $A\subset [-u,u]+\varepsilon B_E$. We know from \cite{GX2} that $A\subset [-u,u]+\varepsilon B_E$ iff $\sup_{x\in A}\|(|x|-u)^+\|\leq \varepsilon$ iff $\sup_{x\in A}\||x|-|u|\land |x|\|\leq \varepsilon$. Note that every norm convergent sequence  is almost order bounded.

We will use the term operator $T : E\longrightarrow F$ between two Banach lattices to mean
a bounded linear mapping. It is positive if $T (x) \geq 0$ in $F$ whenever $x \geq 0$ in $E$. The
operator $T$ is regular if $T = T_1-T_2$ where $T_1$ and $T_2$ are positive operators from $E$
into $F$. Note that each positive linear mapping on a Banach lattice is continuous.
If an operator  $T : E\longrightarrow F$  between two Banach lattices is positive, then its adjoint $T' : F'\longrightarrow E'$ is likewise positive, where $T'$ is defined by $T'(f)(x)=f(T(x))$ for each $f\in F'$ and for each $x\in E$.

  An operator $T:E \longrightarrow F$ between two Riesz spaces is said to preserve disjointness whenever $x\perp y$ in $E$ implies $Tx\perp Ty$  in $F$ (\cite[page 149]{AB1}).

A positive linear mapping $S$ is  disjointness preserving if, and only if, $S$ is a Riesz homomorphism (see \cite{Pagter}).

An operator $T:E\longrightarrow Y$  is called M-weakly compact, if $(T(x_n))$ is norm-null for
every bounded disjoint sequence $(x_n)$ in $E$ (see \cite{AB1}).

 An operator $T$ from a Banach lattice $E$ into a Banach space $X$ is said to be an almost disjoint  Banach-Saks, if for every bounded disjoint  sequence $(x_n)$ of $E$, $(T(x_n))$  has a Ces\`{a}ro convergent subsequence in $X$\cite{HHS}.

An operator $T: E\longrightarrow Y$ from a Banach lattice to a Banach space is said to be order weakly compact if, and on if, for every order bounded disjoint sequence $(x_n)$ of $E$, we have $\|T(x_n)\| \longrightarrow 0$ (\cite[Theorem 5.57 (Dodds)]{AB1}).

 An operator  $T$ is weakly compact if, and only if, for every norm bounded sequence $(x_n)$ of $X$ the sequence $(T(x_n))$ has a weakly convergent subsequence in $Y$ (see \cite{AB1}).

In the rest of this paper $X$, $Y$ will denote Banach spaces, and $E$, $F$ will denote Banach lattices.
\section{Main results}
We start by the following definition.
\begin{Def}\label{definition} An operator $T:E \longrightarrow Y$  is called disjoint weak Banach-Saks (abb; DWBS), if for each disjoint weakly null  sequence $(x_n)$ of $E$, the sequence $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.
\end{Def}
It is clear that $E$ has the disjoint weak Banach-Saks property if, and only if, the identity operator $Id_E$ of $E$ is disjoint weak Banach-Saks. And we observe that this class of operators contains thats of M-weakly compact operators.

We have the following characterisation of the positive disjoint weak Banach-Saks operator.
\begin{Th}\label{caract}
 Let $T:E \longrightarrow F$ be an operator. The following assertions are equivalent:
\begin{enumerate}
\item[(1)] $T$ is a positive disjoint weak Banach-Saks  operator.
\item[(2)] For each disjoint weakly null sequence $(x_n)\subset E^+$, the sequence $(T(x_n))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.
\end{enumerate}
\end{Th}
\begin{proof}
$(1)\Longrightarrow (2)$ Evident.\\
$(2)\Longrightarrow (1)$ Let $(x_n)$ be a disjoint weakly null sequence of $E$.  It follows from Remark 1 \cite{Wnuk1} that  $(|x_n|)$ is a disjoint sequence of $E^+$ such that $|x_n|\longrightarrow 0$ for the topologie $\sigma(E,E')$. From the assertion $(2)$, there exists $(|x_{n_k}|)$ a subsequence of $(|x_n|)$ such that $(T(|x_{n_k}|))$ is Ces\`{a}ro convergent. Now, by the inequality: $$|T(x_n)|\leq T(|x_n|)  \text{ for each n },$$ we obtain that $$|\frac{1}{m}\sum^m_{k=1}T(x_{n_k})|\leq \frac{1}{m}\sum^m_{k=1}|T(x_{n_k})|\leq \frac{1}{m}\sum^m_{k=1}T(|x_{n_k}|)$$
and since $\|\frac{1}{m}\sum^m_{k=1}T(|x_{n_k}|)\|\longrightarrow 0$, then $\|\frac{1}{m}\sum^m_{k=1}T(x_{n_k})\|\longrightarrow 0$. So, $(T(x_n))$ has a Ces\`{a}ro convergent subsequence in $F$ and hence $T$ is a positive disjoint weak Banach-Saks operator.
\end{proof}
As consequence of the last Theorem, we have the following characterization of the disjoint weak Banach-Saks property.
\begin{Cor}\label{caract00}
 The following assertions are equivalent:
\begin{enumerate}
\item[(1)] $E$ has the disjoint weak Banach-Saks property.
\item[(2)] Every disjoint weakly null sequence $(x_n)\subset E^+$  has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\end{enumerate}
\end{Cor}
If $E$ is order continuous, we can obtain the following characterizations of positive disjoint weak Banach-Saks  operator.
\begin{Prop}\label{caract0}
 Let $T:E \longrightarrow F$ be an operator  such that $E$ is order continuous. The following assertions are equivalent:
\begin{enumerate}
\item[(1)] $T$ is a positive disjoint weak Banach-Saks  operator.
\item[(2)] For each  weakly null and uo-null sequence $(x_n)\subset E^+$, the sequence $(T(x_n))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.
\item[(3)] For each  weakly null sequence $(x_n)\subset E^+$, the sequence $(T(x_n))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.
\end{enumerate}
\end{Prop}
\begin{proof}

$(2)\Longrightarrow (1)$ It  follows from the fact that every disjoint sequence is uo-null.

$(1)\Longrightarrow (2)$ Let $(x_n)$ be a weakly null and uo-null sequence of $ E^+$. Since $E$ is order continuous, then by  Lemma 6.7 \cite{GTX} there exist a subsequence $(x_{n_k})$ of $(x_n)$ and a disjoint sequence $(d_k)$ of $E$ such that $\|x_{n_k}-d_k\| \longrightarrow 0$.  Since $(x_n)$ is a weakly null sequence of $E$, then it follows from the proof of Theorem 3.2 \cite{DOT} that $(d_k)$ is a weakly null sequence of $E$ and hence every subsequence of $(d_k)$ is  disjoint and weakly null. The assertion $(1)$ yields that  $(T(d_k))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.

$(3)\Longrightarrow (2)$ Obvious.

$(2)\Longrightarrow (3)$ Let $(x_n)$ be a  weakly null sequence of $E^+$. Since $E$ is order continuous,   then it follows from  Proposition 4.5 \cite{GTX} and  Proposition 4.7 of \cite{GTX} that $x_{n_k} \overset{uo}{\longrightarrow}0$ for some subsequence $(x_{n_k})$. The assertion $(2)$ yields  $(T(x_{n_k}))$   has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.
\end{proof}
\begin{Prop}\label{compose1}
We have the following assertions:
\begin{enumerate}
\item If $T:E \longrightarrow X$ is a disjoint weak Banach-Saks operator, then for each operator $S:X\longrightarrow Y$ the composed operator $S\circ T$ is  disjoint weak Banach-Saks.
\item If $T:F \longrightarrow Y$ is a disjoint weak Banach-Saks operator and $S:E\longrightarrow F$ is a disjointness preserving operator, then the composed operator $T \circ S$ is disjoint weak Banach-Saks.
\end{enumerate}
\end{Prop}
\begin{proof}
\begin{enumerate}
\item Let $(x_n)$ be a disjoint weakly null sequence of $E$. Since $T$ is disjoint weakly Banach-Saks operator, then there exists $(x_{n_k})$ a subsequence of $(x_n)$ such that the Ces\`{a}ro means of $(Tx_{n_k})$ is convergent to $0$. Since $$\|\frac{1}{m}\sum_{k=1}^mS \circ Tx_{n_k}\|\leq \|S\|\|\frac{1}{m}\sum_{k=1}^mTx_{n_k}\|,$$ then the Ces\`{a}ro sequence of $(SoT(x_{n_k}))$ is convergent to $0$. Hence, $SoT$ is a disjoint weak Banach-Saks operator.
\item Let $(x_n)$ be a  disjoint weakly null sequence of $E$. Since $S$ is a disjointness preserving operator, then $(S(x_n))$ is a disjoint sequence and hence $(S(x_n))$ is a disjoint weakly null sequence in $F$. As $T$ is a disjoint weak Banach-Saks operator, then $(T\circ S(x_n))$ is a Ces\`{a}ro convergent subsequence in $Y$. Hence $T \circ S$ is a disjoint weak Banach-Saks operator.
\end{enumerate}
\end{proof}

As consequences of the above proposition, we have the following results:
\begin{Cor}\label{identity}
The following statements are equivalent:
\begin{enumerate}
\item For each  $Y$, every  operator $T:E \longrightarrow Y$ is disjoint weak Banach-Saks.
\item $E$ has the disjoint weak Banach-Saks property.
\end{enumerate}
\end{Cor}
\begin{Cor}\label{identity2}
The following statements are equivalent:
\begin{enumerate}
\item For each  $E$, every disjointness preserving operator $T:E \longrightarrow F$ is disjoint weak Banach-Saks.
\item $F$ has the disjoint weak Banach-Saks property.
\end{enumerate}
\end{Cor}
In the following result, we  prove that the class of  disjoint weak Banach-Saks operators satisfies the domination problem.
\begin{Th}\label{domination}
Let  $S,T: E\longrightarrow F$ be two operators with $0\leq S\leq T$. If $T$ is a disjoint weak Banach-Saks operator, then $S$ is also a disjoint weak Banach-Saks operator.
\end{Th}
\begin{proof}
Let  $S,T: E\longrightarrow F$ be two operators such that $0\leq S\leq T: E\longrightarrow F$. We suppose that $T$ is a disjoint weak Banach-Saks operator. Let $(x_n)$ be a disjoint weakly null sequence of $E$, it follows from Remark 1 \cite{Wnuk1} that $(|x_n|)$ is a disjoint weakly null sequence. Since $T$ is disjoint weak Banach-Saks, then there exists $(|x_{n_k}|)$ a subsequence of $(|x_n|)$ such that $(T(|x_{n_k}|))$ is Ces\`{a}ro convergent. On the other hand, we have $0\leq S\leq T$ implies that $|S(x_n)|\leq S(|x_n|)\leq T(|x_n|).$ This shows that $$\|\frac{1}{m}\sum^m_{k=1}S(x_{n_k})\|\leq \|\frac{1}{m}\sum^m_{k=1}|S(x_{n_k})|\|\leq \|\frac{1}{m}\sum^m_{k=1}T|x_{n_k}|\|$$ and hence  $(S(x_{n_k}))$ is Ces\`{a}ro convergent, that is $S$ is a disjoint weak Banach-Saks operator.
\end{proof}
We note that there exist Banach lattices $E$ and $ F$ and an operator  $T:E \longrightarrow F$ which is disjoint weak Banach-Saks and such that its modulus $|T |$ does not exist. We consider from \cite{ah} the operator $T:L_1[0,1] \longrightarrow c_0$  defined by:
$$\begin{array}{clcl}
  T: &L_1[0,1] &\longrightarrow c_0 &\\
      &f &\longmapsto &(\int^1_0f(x) r_1 dx, \int^1_0f(x) r_2 dx, ....)\\
 \end{array}$$
where $(r_n)$ is the sequence of Rademacher functions on $[0, 1]$. It is clear that $T$
is disjoint weak Banach-Saks ($L_1[0, 1]$ has the disjoint weak Banach-Saks property), but from the remark page 361 of \cite{ah} the modulus of $T$ does not exist.

\begin{Prop}\label{module}
Let $T:E \longrightarrow F$ be an order bounded disjointness preserving operator such that $F$ Dedekind-complet. Then, $T$ is disjoint weak Banach-Saks if, and only if, $|T|$ is disjoint weak Banach-Saks.
\end{Prop}
\begin{proof}
Let $T:E \longrightarrow F$ be an order bounded disjointness preserving operator.  By \cite[Theorem 2.2]{Boulabiar}, we have $$|T|(|x|)=|T(x)|=||T|(x)| \ \ \forall x\in E$$ and hence
$$\|\frac{1}{m} \sum^m_{k=1}|T|x_{n_k}\|=\||T|\frac{1}{m} \sum^m_{k=1}x_{n_k}\|=\||T\frac{1}{m} \sum^m_{k=1}x_{n_k}|\|=\|\frac{1}{m} \sum^m_{k=1}Tx_{n_k}\|,$$ as desired.
\end{proof}
\begin{Prop}\label{caract_typeconv}
If $E$ is order continuous, then for every operator $T : E\longrightarrow Y$  the following assertions are equivalent:
\begin{enumerate}
\item $T$ is disjoint weak Banach-Saks.
\item For each  weakly null sequence $(x_n)$ of $E$ such that $x_n \overset{un}{\longrightarrow}0$, the sequence $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.
\item For each weakly null sequence $(x_n)$ of $E$ such that $x_n \overset{uaw}{\longrightarrow}0$, the sequence $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.
\item For each weakly null sequence $(x_n)$ of $E$ such that $x_n \overset{uo}{\longrightarrow}0$, the sequence $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.
\end{enumerate}
\end{Prop}
\begin{proof}
$(1) \Longrightarrow (2)$ Let $(x_n)$ be a weakly null sequence of $E$ such that  $x_n \overset{un}{\longrightarrow}0$. It follows from Theorem 3.2 \cite{DOT} that there exist $(x_{n_k})$ a subsequence of $(x_n)$ and a disjoint sequence $(d_k)$ of $E$ such that $\|x_{n_k}- d_k \| \longrightarrow 0$. So,  $\|T(x_{n_k})- T(d_k) \| \longrightarrow 0$  in $Y$. Since $(x_n)$ is a weakly null sequence of $E$, then it follows from the proof of Theorem 3.2 \cite{DOT} that $(d_k)$ is a weakly null sequence of $E$. As $T$ is a disjoint weak Banach-Saks operator, the assumption of $(1)$ yields that  $(T(d_k))$  has a subsequence whose Ces\`{a}ro means are norm convergent in $Y$. Hence, $(T (x_{n_k}))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.

$(2) \Longrightarrow (3)$ Let $(x_n)$ be a weakly null sequence of $E$ such that  $x_n \overset{uaw}{\longrightarrow}0$. Since $E$ is order continuous, then it follows from Theorem 4 \cite{OZ} that $x_n \overset{un}{\longrightarrow}0$. Therefore, the assertion (2) yields that $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.

$(3) \Longrightarrow (4)$ Let $(x_n)$ be a weakly null sequence of $E$ such that $x_n \overset{uo}{\longrightarrow}0$. Since $E$ is order continuous, then it follows from Propostion 2.5 \cite{DOT} and Theorem 4 \cite{OZ} that $x_n \overset{uaw}{\longrightarrow}0$. Hence, by the assertion (3) we infer that $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$.

$(4) \Longrightarrow (1)$ Let $(x_n)$ be a disjoint weakly null sequence of $E$. By Corollary 3.6 \cite{GTX}, we see that $x_n \overset{uo}{\longrightarrow}0$ and hence it follows from the assertion (4) that $(T(x_n))$ has a Ces\`{a}ro convergent subsequence in $Y$. That is, $T$ is a disjoint weak Banach-Saks operator.
\end{proof}
\begin{Prop}\label{caract_almost ob}
If $F$ is order continuous, then for every  operator $T: E\longrightarrow F$  the following assertions are equivalent.
\begin{enumerate}
\item $T$ is disjoint weak Banach-Saks.
\item For each disjoint weakly null sequence $(x_n)$ of $E$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is almost order bounded.
\item For each disjoint weakly null sequence $(x_n)$ of $E^+$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is almost order bounded.
\end{enumerate}
\end{Prop}
\begin{proof}
$(1) \Longrightarrow (2) \Longrightarrow (3)$ Are obvious.

$(2) \Longrightarrow (1)$ Let $(x_n)$ be a  disjoint weakly null sequence of $E$. Since any subsequence
$(x_{n_k})$  of $(x_n)$ is also a  disjoint weakly null sequence of $E$, the assertion  $(2)$ yields that $(T(x_{n_k}))$ has a subsequence whose Ces\`{a}ro sequence is almost order bounded. In particular, any subsequence of $(T(x_n))$ has a further subsequence whose Ces\`{a}ro sequence is almost order bounded.  Since $F$ is order continuous, then it follows from  Lemma 6.3 of \cite{GTX} that there exists a subsequence $(T(x_{n_k}))$ of $(T(x_n))$ and a vector $y\in F$ such that the Ces\`{a}ro sequence is of any subsequence of $(T(x_{n_k}))$ converges uo- and in norm to $y=0$.

$(3) \Longrightarrow (2)$  Let $(x_n)$ be a  disjoint weakly null sequence of $E$. It follows from Wnuk  \cite[Remark 1]{Wnuk1} that  $(|x_n|)$ is a disjoint sequence of $E^+$ such that $|x_n|{\overset{w}{\longrightarrow}} 0$. We have $x_n=x_n^+-x_n^-$ and $|x_n|=x_n^++x_n^-$. It is easy  from the inequality $0\leq x_n^+ \leq |x_n|$ (resp,  $0\leq x_n^- \leq |x_n|$), to see that  $(x_n^+)$ (resp, $(x_n^-)$) is a disjoint weakly null sequence of $E^+$. So, every subsequence of $(x_n^+)$ is disjoint weakly null in $E^+$. The assumption $(3)$ yields that every subsequence of $(T(x_n^+))$ has a further subsequence whose Ces\`{a}ro sequence is almost order bounded in $F$. Since $F$ is order continuous, then by  Lemma 6.3 \cite{GTX} there exists a subsequence $(T(x_{\phi(n)}^+))$ of $(T(x_n^+))$ and a vector $y\in F$ such that the Ces\`{a}ro sequence  of any subsequence of $(T(x_{\phi(n)}^+))$ converges uo and in norm to $y=0$, and so the Ces\`{a}ro sequence  of any subsequence of $(T(x_{\phi(n)}^+))$ is almost order bounded in $F$. On the other hand, $(x_{\phi(n)}^-)$ is a disjoint  weakly null sequence of $E^+$. It follows from the assertion $(3)$ that the sequence $(T(x_{\phi(n)}^-))$ has a subsequence $(T(x_{\psi(\phi(n))}^-))$  whose Ces\`{a}ro sequence  is almost order bounded in $F$. As it was shown above, the Ces\`{a}ro sequence  of any subsequence of $(T(x_{\phi(n)}^+))$ is almost order bounded in $F$ and hence the Ces\`{a}ro sequence  of $(T(x_{\psi(\phi(n))}^+))$ is almost order bounded. Therefor, the Ces\`{a}ro sequence of the subsequence  $T(x_{\psi(\phi(n))})=T(x_{\psi(\phi(n))}^+)-T(x_{\psi(\phi(n))}^-)$ of the sequence $(T(x_n))$ is almost order bounded in $F$, where $\phi$ and $\psi$ are increasing mappings from $\mathbb{N}$ to  $\mathbb{N}$.
\end{proof}
Whenever $E$ and $F $ are order continuous, we obtain the following characterizations.
\begin{Prop}\label{cor02}
Let $E$  and $F$ be order continuous. For an operator $T: E\longrightarrow F$, the following assertions are equivalent.
\begin{enumerate}
\item $T$ is  disjoint weak Banach-Saks.
\item For each weakly and uo-null sequence $(x_n)$ of $E^+$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is almost order bounded in $F$.
\item For each weakly null sequence $(x_n)$ of $E^+$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is almost order bounded in $F$.
\end{enumerate}
\end{Prop}
\begin{proof}
$(1) \Longrightarrow(2) \Longrightarrow (3)$ Are obvious.

$(2) \Longrightarrow(1)$ Let $(x_n)$ be a weakly null and uo-null sequence of $E^+$. Since $E$ is order continuous, then by  Lemma 6.7 \cite{GTX} there exist a subsequence $(x_{n_k})$ of $(x_n)$ and a disjoint sequence $(d_k)$ of $E$ such that $\|x_{n_k}-d_k\| \longrightarrow 0$.  Since $(x_n)$ is a weakly null sequence of $E$, then it follows from the proof of Theorem 3.2 \cite{DOT} that $(d_k)$ is a weakly null sequence of $E$ and hence every subsequence of $(d_k)$ is  disjoint and weakly null. As $T$ is disjoint weak Banach-Saks, then it follows from the Proposition \ref{caract_almost ob} that every subsequence of $(T(d_k))$  has a further subsequence whose Ces\`{a}ro sequence is almost order bounded in $F$. As $F$ is order continuous, then it follows from Lemma 6.3 \cite{GTX} that $(T(d_k))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$ and hence $(T (x_{n_k}))$  has a subsequence whose Ces\`{a}ro sequence is almost order bounded in $F$.

$(3) \Longrightarrow(2)$ Let $(x_n)$ be a weakly null  sequence of $E^+$. Since $E$ is order continuous, then it follows from the Proposition 4.5 and the Proposition 4.7 \cite{GTX} that there exists a subsequence $(x_{n_k})$ of $(x_n)$ such that $x_{n_k}\overset{uo}{\longrightarrow}0$. The assertion $(3)$ yields that $(T(x_{n_k}))$  has a subsequence whose Ces\`{a}ro sequence is almost order bounded in $F$.
\end{proof}
As consequence of the Proposition \ref{caract0}, the Proposition \ref{caract_almost ob} and the Proposition \ref{cor02}, we get the Proposition 6.9 \cite{GTX}.
\begin{Cor}(Proposition 6.9 \cite{GTX})\\
Let $E$ be  order continuous. Then, the following assertions are equivalent.
\begin{enumerate}
\item $E$ has the disjoint weak Banach-Saks property.
\item Every disjoint weakly null sequence $(x_n)$ of $E$ has a subsequence whose  Ces\`{a}ro sequence is almost order bounded.
\item Every disjoint weakly null  sequence $(x_n)$ of $E^+$ has a subsequence whose  Ces\`{a}ro sequence is almost order bounded.
\item Every weakly and uo-null sequence $(x_n)$ of $E$ has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\item Every weakly and uo-null sequence $(x_n)$ of $E^+$ has a subsequence whose  Ces\`{a}ro sequence is almost order bounded.
\item Every weakly null sequence $(x_n)$ of $E^+$ has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\item Every weakly null sequence $(x_n)$ of $E^+$ has a subsequence whose Ces\`{a}ro sequence is almost order bounded.
\end{enumerate}
\end{Cor}
We denote by $L_{DWBS}(E,Y)$ the spaces of all disjoint weak Banach-Saks operators from $E$ to $Y$.
\begin{Prop}
 $L_{DWBS}(E,Y)$ is a closed subset of the space of all continuous operators from  $E$ to $F$.
\end{Prop}
\begin{proof}
Let $(T_{m})$ be a sequence of disjoint weak Banach-Saks operators which is convergent to the operator $T$. We will show that $T$ is also a disjoint weak Banach-Saks operator. For this, let $(x_{n})$ be a disjoint  weakly null sequence of $E$, then  $(T_m(x_n))$  has a subsequence $(T_m(x_{n_k}))$  whose Ces\`{a}ro sequence is norm convergent in $Y$. That is, $\lim \frac{1}{n} \sum ^{n}_{k=1}T_m(x_{n_k})=0$. On the other hand,  $(T_{m})$ converges to the operator $T$. So, given any $\varepsilon>0$, there is an $m_{0} \in \mathbb{N}$ such that $\|T_{m}-T\|\leq \frac{\varepsilon}{2M}$ for each $m>m_{0}$, where $M=\sup_{n}\|x_{n} \|$. Let $m>m_{0}$, for sufficiently large $n$ we have $\|\frac{1}{n} \sum ^{n}_{k=1}T_m(x_{n_k})|\ \leq\frac{\varepsilon}{2}$.\\
  Therefore, by the inequality
 \begin{eqnarray*}

   \|T(x_{n})\| &\leq& \|(T-T_{m})(x_{n})\|+\|T_{m}(x_{n})\| \\
     &\leq&  M. \frac{\varepsilon}{2M}+\|T_{m}(x_{n})\|
 \end{eqnarray*}
 we obtain that
  \begin{eqnarray*}

   \|\frac{1}{n} \sum ^{n}_{k=1}T(x_{n_k})\| &\leq&  \frac{\varepsilon}{2}+\|\frac{1}{n} \sum ^{n}_{k=1}T_m(x_{n_k})\| \\
     &\leq&  \frac{\varepsilon}{2}+\frac{\varepsilon}{2}=\varepsilon.
 \end{eqnarray*}
Hence, $\lim \frac{1}{n} \sum ^{n}_{k=1}T(x_{n_k})=0$, that is $T \in L_{DWBS}(E,Y)$, as desired.
\end{proof}
\begin{Prop}\label{svect}
 If $F$ is order continuous, then $L_{DWBS}(E,F)$ is a closed vector subspace of the space of all continuous operators from $E$ to  $F$.
\end{Prop}
\begin{proof}
The proof is the same as that of the implication $(3) \Longrightarrow(2)$ of Proposition \ref{caract_almost ob}.
 \end{proof}
As consequence of the proposition \ref{svect}, we have the following result.
\begin{Cor}
Let $T: E \longrightarrow F$ be an operator such that $F$ is order continuous.  If the modulus of $T$ exists and is disjoint weak Banach-Saks, then $T$  is disjoint weak Banach-Saks.
\end{Cor}
\begin{proof}
The proof  is the same as that of the seconde part of  Proposition 2.1 of \cite{ah}.
\end{proof}
\begin{Lemma}\label{uaw-lem}
Let $(x_{\alpha})$ be a net in  $E$ such that $x_{\alpha}\overset{uaw}{\longrightarrow}0$. Then, there exists an increasing sequence of indices $(\alpha_k)$ and a disjoint sequence
$(d_k)$ such that $x_{\alpha_k}-d_k \overset{w}{\longrightarrow}0$.
\end{Lemma}
\begin{proof}
The proof of this lemma is the same as that of Theorem 3.2 \cite{DOT}. It suffice to replace the norm  in the inequality $\|x_{\alpha_k}\land x_{\alpha_i}\|\leq \frac{1}{2^{k+1}} $ by a positive linear functional in order to replace the  norm convergence by the weak convergence.
\end{proof}
\begin{Prop}\label{uaw-dwbs0}
If  $Y$ has the Schur property, then for every  operator $T : E\longrightarrow Y$ the following statements are equivalent:
\begin{enumerate}
\item $T$ is  disjoint weak Banach-Saks.
\item For each weakly null  sequence $(x_n)$ of $E$ such that $x_n \overset{uaw}{\longrightarrow}0$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\end{enumerate}
\end{Prop}
\begin{proof}
$(1) \Longrightarrow (2)$ Let $(x_n)$ be a weakly null sequence of $E$ such that  $x_n \overset{uaw}{\longrightarrow}0$. It follows from the Lemma \ref{uaw-lem} that there exist $(x_{n_k})$ a subsequence of $(x_n)$ and a disjoint sequence $(d_k)$ of $E$ such that $x_{n_k}- d_k \overset{w}{\longrightarrow} 0$. As $(x_{n_k})$ is weakly null in $E$, then $(d_k)$ is weakly null in $E$. Since $T$ is a disjoint weak Banach-Saks operator, then  $(T(d_k))$ has a Ces\`{a}ro norm convergent subsequence $(T(d_{\phi(k)}))$ which is also weakly convergent. As $x_{n_{\phi(k)}}- d_{\phi(k)} \overset{w}{\longrightarrow} 0$, then $(T (x_{n_k}))$ has a Ces\`{a}ro weakly convergent subsequence $(T(x_{n_{\phi(k)}}))$ in $Y$ and since $Y$ has the Schur property, then $(T (x_{n_k}))$ has a Ces\`{a}ro  convergent subsequence $(T(x_{n_{\phi(k)}}))$.

$(2) \Longrightarrow (1)$ Let $(x_n)$ be a disjoint weakly null sequence of $E$. It follows from Lemma 2 \cite{OZ} that $x_n \overset{uaw}{\longrightarrow}0$ and hence  $(T(x_n))$ has a Ces\`{a}ro convergent subsequence in $Y$.
\end{proof}
As a consequence of the Proposition \ref{caract_almost ob} and the Proposition \ref{uaw-dwbs0}, we obtain the following result.
\begin{Cor}\label{uaw-dwbs}
If the lattice operations of $E$ are  weakly sequentially continuous and $Y$ has the Schur property, then for every operator $T : E\longrightarrow Y$ the following  statements are equivalent:
\begin{enumerate}
\item $T$ is  disjoint weak Banach-Saks.
\item For each weakly null sequence $(x_n)$ of $E$ such that $x_n \overset{uaw}{\longrightarrow}0$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\item For each weakly null  sequence $(x_n)$ of $E$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\item For each weakly null  sequence $(x_n)$ of $E^+$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent.
\end{enumerate}
\end{Cor}
\begin{proof}
$(1) \Longleftrightarrow (2)$ Proposition \ref{uaw-dwbs0}.

$(3) \Longrightarrow (2)$ Its obvious.

$(2) \Longrightarrow (3)$ Let $(x_n)$ be a weakly null sequence of $E$. Since  the lattice operations of $E$ are weak sequentially continuous, then it follows from Theorem 2.1 \cite{elb} that $x_n \overset{uaw}{\longrightarrow}0$. Hence, the statement $(2)$ yields that $(T(x_n))$ has a subsequence whose Ces\`{a}ro means is norm convergent in  $Y$.

$(3) \Longrightarrow (4)$ Its obvious.

$(4) \Longrightarrow (3)$ The proof is the same as of the implication $(3) \Longrightarrow(2)$ of Proposition \ref{caract_almost ob}.
\end{proof}
\begin{Cor}\label{uaw-dwbs00}
 Let $T:E \longrightarrow F$ be an operator such that $F$ has the Schur property. The following assertions are equivalent:
\begin{enumerate}
\item $T$ is a positive disjoint weak Banach-Saks operator.
\item For each weakly null  sequence $(x_n)$ of $E^+$ such that $x_n \overset{uaw}{\longrightarrow}0$, $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in  $F$.
\item For each  weakly null sequence $(x_n)\subset E^+$, the sequence $(T(x_n))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.
\end{enumerate}
\end{Cor}
\begin{proof}
$(3) \Longrightarrow (2)$  Obvious.

 $(3) \Longrightarrow (1)$ It follows from the Theorem \ref{caract}.

$(2) \Longrightarrow (3)$ Let $(x_n)$ be a  weakly null sequence of $E^+$, then  $x_n \longrightarrow 0$ in the absolute weak topology and hence it follows  from \cite{OZ} that  $x_n \overset{uaw}{\longrightarrow}0$. By the assumption $(2)$, the sequence $(T(x_n))$  has a subsequence whose Ces\`{a}ro sequence is norm convergent in $F$.

$(2) \Longrightarrow (1)$ Let $(x_n)$ be a disjoint weakly null sequence of $E^+$. It follows from Lemma 2 \cite{OZ} that $x_n \overset{uaw}{\longrightarrow}0$ and hence  $(T(x_n))$ has a Ces\`{a}ro convergent subsequence in $F$.

$(1) \Longrightarrow (2)$  The proof is the same as of the implication $(1) \Longrightarrow(2)$ of Proposition \ref{uaw-dwbs0}.
\end{proof}
Note that a weak Banach-Saks operator is disjoint weak Banach-Saks. But the converse is not true in general. In fact,  the Banach lattice $E=L_p(c_0)=L_p([0,1];c_0)$, where $0<p<1$,  has the disjoint weak Banach-Saks property (\cite[example 6.10]{GTX}) but fails to have the weak Banach-Saks property. So, $Id_{E}$ the identity operator of $E$ is a disjoint weak Banach-Saks operator which is not weak Banach-Saks.

In the following result, we give sufficient conditions on  $E$  and   $Y$ under which  each  disjoint weak Banach-Saks operator from $E$ to $Y$ is  weak Banach-Saks, for each $Y$.
\begin{Th}\label{dwbs-wbs}
 Each disjoint weak Banach-Saks operator $T:E \longrightarrow Y$  is weak Banach-Saks, if one of the following assertions is valid:
\begin{enumerate}
\item $E$ has the subsequence splitting property.
\item $E$ is order continuous and atomic.
\item $E$ and $E^{\prime}$ are order continuous.
\item The lattice operations of $E$ are weakly sequentially continuous and $Y$ has the Schur property.
\end{enumerate}
\end{Th}
\begin{proof}
$1)$  Let $(x_n)$ be a weakly null sequence of $E$. Since $E$ has the subsequence splitting property, by passing to a subsequence we may assume that $x_n=y_n+z_n$, where $(y_n)$ is almost order bounded and  $(z_n)$ is disjoint. Since $E$ is order continuous, then by passing to a further subsequence, we may assume that every subsequence of $(y_n)$ and therefore of $(T(y_n))$ is Ces\`{a}ro convergent (\cite[lemma 6.3]{GTX}). We have $(x_n)$ is a weakly null sequence, then $(z_n)$ is also a weakly null sequence. Since $T$ is a disjoint weak Banach-Saks operator, then $(T(z_n))$ has a Ces\`{a}ro convergent subsequence $(T(z_{n_k}))$. We put $T(x_{n_k})=T(y_{n_k})+T(z_{n_k})=T(y_{n_k}+z_{n_k})$, where $(y_{n_k})$ is a subsequence of $(y_n)$. We have $(T(x_{n_k}))$ is a Ces\`{a}ro convergent subsequence of $(T(x_n))$, hence $T$ is a  weak Banach-Saks operator.

$2)$ It follows from Lemma 6.7 and Lemma 6.14 \cite{GTX}.

$3)$ Let $(x_n)$ be a weakly null sequence of $E$. Since  $E$ and $E^{\prime}$ are order continuous, then it follows from Theorem 5 \cite{w1}  that $(x_n)$ is an uo-null  sequence of $E$. As $T$ is a disjoint weak Banach-Saks operator, then by the Proposition \ref{caract_typeconv} we infer that $(T(x_n))$ has a subsequence whose Ces\`{a}ro sequence are norm convergent in $Y$. That is $T$ is weak Banach-Saks.

$4)$ It follows from the Corollary \ref{uaw-dwbs}.
\end{proof}
Note that an almost Banach-Saks operator is disjoint weak Banach-Saks. But the converse is not true in general. In fact, the identity operatot $Id_{\ell^1}: \ell^1 \longrightarrow \ell^1$ is disjoint weak Banach-Saks (because $\ell^1$ has the disjoint weak Banach-Saks property), but follows from \cite{HHS} that $Id_{\ell^1}$  is not almost Banach-Saks.

 In the following result, we give necessary and sufficient conditions on  $E$ and  $Y$ under which each disjoint weak Banach-Saks operator from $E$ to $Y$ is almost Banach-Saks.
\begin{Th}\label{dwbs-abs}
 The following assertions are equivalent:
 \begin{enumerate}
 \item  Each disjoint weak Banach-Saks operator  $T:E\longrightarrow Y$ is almost Banach-Saks.
 \item  One of the following assertions is valid:
\begin{enumerate}
\item[(a)]  $E^{\prime}$ is order continuous,
\item[(b)]  $Y$  has the  Banach-Saks property.
\end{enumerate}
\end{enumerate}
\end{Th}
\begin{proof}
$(1) \Longrightarrow (2)$
 Assume that neither the norm of $E^{\prime}$ is order continuous nor $Y$ has the  Banach-Saks property. Then, by Theorem 2.4.14 and Proposition 2.3.11 \cite{MN} $E$ contains a complemented copy of $\ell^{1}$ and there exists a positive projection $P:E\longrightarrow \ell^1$, on the other hand since $Y$ does not have the  Banach-Saks property then, there exists $(y_n)$ a norm bounded sequence of $Y$ with no Ces\`{a}ro convergent subsequences.

We consider the following operator:
$$\begin{array}{clcl}
  S: &\ell^{1}  &\longrightarrow Y&\\
      &(\lambda_n) &\longmapsto &\sum_{n=1}^{\infty}\lambda_n y_n\\
 \end{array}$$
$S$ is well defined.

Now, we consider the composed operator $T=S\circ P$. Since $\ell^1$ has the weak Banach-Saks property, then both $S$ and $P$ are weak Banach-Saks operators. It follows that $T$ is weak Banch-Saks and hence $T$ is disjoint weak Banach-Saks. To finish the proof, we have to claim that $T$ is not an almost Banach-Saks operator. Otherwise, since the injection $\imath: \ell^1\longrightarrow E $ is a lattice homomorphism, then it follows from  Propostion 3.2  \cite{HHS} that $T \circ \imath  $ is an almost Banach-Saks operator. But by taking $(e_n)$ the unit basis of $\ell^1$ as a norm bounded disjoint sequence, we have $T \circ \imath(e_n)=y_n$ with no Ces\`{a}ro convergent subsequence, which is a contradiction.

$(2)(a) \Longrightarrow (1)$ Let $T:E\longrightarrow Y$ be a disjoint weak Banach-Saks operator and let $(x_n)$ be a norm bounded disjoint sequence in $E$. Since $E'$ is order continuous, then by \cite[theorem 2.4.14]{MN} the sequence $(x_n)$ is also weakly null and so  $(Tx_n)$ has a subsequence whose Ces\`{a}ro sequence is norm convergent in $Y$. Hence, the operator $T$ is  almost Banach-Saks.

$(2)(b) \Longrightarrow (1)$  Its obvious.
\end{proof}
As  consequences of the Theorem \ref{dwbs-abs}, we have the following results.
\begin{Cor}\label{cor03}
The following assertions are equivalent:
 \begin{enumerate}
 \item  Each disjoint weak Banach-Saks operator  $T:E\longrightarrow E$ is almost Banach-Saks,
 \item $E^{\prime}$ is order continuous.
\end{enumerate}
\end{Cor}
\begin{Cor}(Proposition 6.15 \cite{GTX})
A Banach lattice $E$ with the DWBSP has the DBSP if and only if it contains no lattice copy of $\ell^1$.
\end{Cor}
Recall from   Theorem 5.57 \cite{AB1} that an operator $T: E\longrightarrow Y$ is order weakly compact if, and on if,  for evry order bounded disjoint sequence $(x_n)$ of $E$,  we have  $\|T(x_n)\| \longrightarrow 0$.
\begin{Th}\label{owc_dwbs}
 If either $E$ is $\sigma$-laterally complete or AM-space with unit, then every o-weakly compact operator from $E$ to $Y$ is disjoint weak Banach-Saks.
\end{Th}
\begin{proof}
 Let $T: E\longrightarrow Y$ be an order weakly compact operator and let $(x_n)$ be a disjoint weakly sequence in $E$. Since $E$ is $\sigma$-laterally complete (resp, $E$ is AM-space with unit), then $(x_n)$ is order bounded and hence $(T(x_n)$ is norm-null. So, $(T(x_n))$ has a Ces\`{a}ro convergent subsequence.
\end{proof}
We note that a disjoint weak Banach-Saks operator is not necessary o-weakly compact.  In fact, the identity operator $Id_{\ell^{\infty}}: \ell^{\infty} \longrightarrow \ell^{\infty}$ is disjoint weak Banach-Saks (because $\ell^{\infty}$ has the disjoint weak Banach-Saks property) but it  is not o-weakly compact(because $\ell^{\infty}$ is not order continuous).

By the proof of Theorem 2.2 \cite{AH2}, we can investegate the following result.
\begin{Th}
 If $E$ has the disjoint weak Banach-Saks property, then the following assertions are equivalent:
 \begin{enumerate}
 \item  Each order bounded operator from $E$ to $F$ is order weakly compact.
 \item  Each order bounded  disjoint weak Banach-Saks operator  $T:E\longrightarrow F$ is order weakly compact.
 \item  One of the following assertions is valid:
\begin{enumerate}
\item[(a)]  $E$ is order continuous,
\item[(b)]  $F$ is order continuous.
\end{enumerate}
\end{enumerate}
\end{Th}
We note that the identity operator $Id_{c_0}$  of the Banach lattice $c_0$ is a disjoint weak Banach-Saks operator which is not weakly compact. Conversely, weakly compact operators are not in general  disjoint weak Banach-Saks. In fact, the identity operator of the Baerstein space (see \cite{B}) is weakly compact but fails to be disjoint weak Banach-Saks.
\begin{Th}\label{wc_dwbs}
If either $E^{\prime}$  has the positive Schur property or $Y$ has the schur property, then every weakly compact operator from $E$ to $Y$ is  disjoint weak Banach-Saks.
\end{Th}
\begin{proof}
\begin{itemize}
\item  Let $T: E\longrightarrow Y$ be a weakly compact operator. If $E^{\prime}$  has the positive Schur property, then it follows from  Proposition 3.18 \cite{HHS} that $T$ is  almost Banach-Saks and hence $T$ is  disjoint weak Banach-Saks.
\item Let $(x_n)$ be a weakly disjoint sequence in $E$ and $T: E\longrightarrow Y$ be a weakly compact operator. It follows from \cite{AB1} that  $T(x_n)$ has a weakly convergent subsequence in $Y$. Since $Y$ has the Schur property, then $(T(x_n))$ has a norm convergent subsequence.
\end{itemize}
\end{proof}

redpajama_set_name: RedPajamaArXiv


UPDATE: Alas, my Peeps diorama didn't win. But at least my Twitter account got a shout out on the Washington Post website. If you are curious, check my 5 seconds of fame here.
Some people fantasize about winning the lottery or a Nobel Prize. I dream of one day taking my place among the winners of the Washington Post peeps diorama contest. I've been blown away by the top entries each year I've lived in DC. This year was the first time I actually got around to entering the contest myself.
My husband and I tackled the royal wedding last weekend. He worked construction on a very accurate, mini version on Westminster Abbey. I handled Peep styling and costume design. Of course as a blogger, I had to give a shout out to my favorite royal wedding Internet memes frowning flower girl and Princess Beatrice's horrible hat.
Tomatoes, you may taste bitter, but you are sweet to me.
It's Valentine's Day, so it's time for some bad love-related puns to express my adoration of this recipe.
Moosewood tomato soup, I think you are soup-er. Nothing warms my heart like a bowl of you. I am over the spoon for you, and I will forever be bowl-ed over by your love.
This recipe is great because it's so quick and easy. Yet, it's so rich that it tastes like it cooked for hours.


text:
Email, Marketing Strategy
Trump Is Digital Marketing, Clinton Legacy?
By Heather Fletcher
Raising $3 million in a day from an email fundraising-to-Web conversion path may prove presidential candidate Donald Trump knows his digital marketing, but it still puts him far behind the war chest of rival Hillary Clinton, who recently got labeled old-school by a speaker at Cannes.
On Wednesday, Ad Age's Ken Wheaton summarized the "Creativity on the Stump" presentation Cannes. In it, Thomas Gensemer — Burson Marsteller's U.S. chief strategy officer — tried "to link the political world to the marketing world" by characterizing "the Clinton campaign as the lumbering legacy company and Mr. Trump's as the nimble startup."
That same day, Rebecca Sinderbrand of the Washington Post writes: "Trump may have just shattered fundraising records." That's after Tuesday's article by the Guardian that "Trump's Woeful $1.3m Campaign War Chest [Is] Dwarfed by Clinton's $42.5m" had followed the Monday announcement that Trump fired his campaign manager.
"Despite all the heated rhetoric there's still an organizational story to be told," Gensemer says in the Ad Age article.
Image courtesy of CNNMoney
Gensemer said both campaigns were using target marketing methods.
"He also floated the concept of politicians using what he called 'Programmatic PR,' Ad Age writes. "It's not an automated process, but instead of going out to all of the traditional media outlets, campaigns are now looking at the dashboard, as it were, picking and choosing the journalists that reach the specific audiences they want and then building relationships with those."
Ad Age says the Cannes speakers also thought that Trump's digital marketing prowess advanced his campaign through "authenticity on social media and his $3.3 billion worth of earned media."
(Then there's the mysterious $35,000 Trump spent on Web advertising through New Hampshire's Draper Sterling, which Ad Age noted on Tuesday is evocative of the fictional "Mad Men" partners' names.)
The Washington Post says Trump's online presence may need to be a concern for Clinton marketers.
"His campaign said late [on Wednesday]," reads the article, "that the mogul's Tuesday fundraising email to supporters had already generated an astounding $3 million (plus an additional $2 million Trump himself had promised in matching funds.)
"Raising such a huge sum in a short amount of time," writes the Post's Matea Gold, "through an email list that had never before been tapped for contributions — would make Trump's pitch for donations one of the most successful in American politics, according to veteran fundraisers."
This would far outpace normal political fundraising benchmarks, reads Gold's piece. Trump would've needed six million donors to raise $3 million so quickly.
"Digital fundraising experts were skeptical that Trump has been able to curate and maintain such a big list," Gold adds. "But if he did pull off $3 million in a day, Democrats should be worried, they added. At such a rate, Trump could pull in more than $20 million online by the end of the month."
But perhaps Clinton's strategy isn't so much old-school as it is feminine? Ezra Klein of Vox, quoted in a June 10 Target Marketing article, says: "Clinton's effort in the primary [is] 'less masculine.' And her strategy worked. 'She won the Democratic primary by spending years slowly, assiduously, building relationships with the entire Democratic Party,' Klein writes. 'She relied on a more traditionally female approach to leadership: creating coalitions, finding common ground and winning over allies. Today, 523 governors and members of Congress have endorsed Clinton; 13 have endorsed [Bernie] Sanders. This work is a grind — it's not big speeches, it doesn't come with wide applause, and it requires an emotional toughness most human beings can't summon.' "
What do you think, marketers?
Please respond in the comments section below.
Heather Fletcher
Ken Wheaton
Matea Gold
Rebecca Sinderbrand
Thomas Gensemer
E T Heather Fletcher Author's page
Heather Fletcher is senior content editor with Target Marketing.
Simple Math: Direct Mail + Email = Better Response
'Crassmas' Messages Show Poor Personalization
Email Marketing Automation Wins Back Customers for Henry's House of Coffee
A Beginner's Guide to Automated Lead Nurturing
Metrics to Monitor for Your Sender Reputation
1 Issue With Email Marketing Automation Flowcharts

redpajama_set_name: RedPajamaCommonCrawl


text:
Why join ASP?
The ASP has diverse and growing membership. Members are entitled to a variety of benefits, many of which can be accessed through this website. Membership is open to persons engaged in the scientific study of primates and to those supporting the goals of the Society, as described in the Constitution.
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We have our own Facebook group!
Memberships are based on the calendar year.
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How to read, write and understand written music.
MUSIC THEORY: The study of the theoretical elements of music including sound and pitch, rhythm, melody, harmony and notation.
melody cats - Apps for treble, bass, rhythm etc.


homeless john is from the bay area. john studied to be a mechanic of some sort at a trade school in arizona in the 80s. on january 13, 1987 at 8:46pm, he hit a horse in the middle of the road going 55. there were no survivors. but the paramedics brought him back.
his fingers and palms are twisted in a manner cruel to someone who sought to earn a living with his hands. his face bones are largely broken. his tear ducts discharge through his right eye what should come out his nose.
he got by though and managed to live in a small studio (with city assistance) and do small jobs through st. vincents. on one job, he was seeking to break up a fight when one of the guys pulled a knife and lunged to stab him. he was wearing several coats and suffered only cuts to his clothing. but he was enraged and severely beat the man; sending him to the hospital. st. vincents dropped him.
in 2004, a neighbor accused him of trying to stab him. he lost his housing.
now he "camps out" and does small jobs after hours for some local nightclubs.


text:
package route

const (
	// Prefix is the v1 prefix for all coordinator routes.
	Prefix = "/api/v1"
)

redpajama_set_name: RedPajamaGithub


Look who's on the cover of the latest Real Estate magazine???
I wish they had chosen a different photo of me, but still…this is a huge honor!
This entry was posted in larson educational services, naples real estate school and tagged larson ed naples, larson naples, larson real estate school, naples fl real estate school, naples real estate, naples real estate school, naples school of real estate, school of real estate naples. Bookmark the permalink.


I love that new feeling after Spring cleaning where you know things are going to flow better. Whenever we actually manage to get to this seemingly daunting task we are always rewarded with some type of renewal in life.
Renewal is just one of life's cycles, but most people in modern society live in a rush that leaves us in a perpetual state of tiredness. A lack of restful yin energy cycle that can have tremendous benefits in life.
All of the cycles in our life are shaped by our surroundings, experiences and position on the Earth.
Spring is special because it is the energy of renewal!
Zest and vigor are the sign of the times and you will notice bright colors like green, orange and yellow. The renewal of life is everywhere!
While it is plain to see in nature, such as a blooming flower, we are all affected energetically by this Alchemical cycle and Spring cleanings help us flow better, but the opposite can also hinder our moving forward.
The opposite of Spring is Fall, which can be said is nearing the end of a life cycle or moving toward renewal again.
As Karen Kingston speaks about in her book, "Clearing You Clutter with Feng Shui", when we clear our surroundings, our mind shifts as well.
Meditation is a key factor that like pruning, eliminates noise clutter from your constant activity in your mind.
While this can be a major tool in removing unwanted stress by doing so, you can also use a meditative exercise to focus, understand and manifest better. This Yin aspect of life is key in discovering truth within yourself and reaching the state of renewal. As a practice, it can help you to discern between all of the noise that exists and better come to see the reflection in the mirror of the mind. Here you may come to see yourself fully for what and who you truly are and begin to see with your inner eye, the eye of truth.


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text:
Paths of Love: The Discernment of Vocation
Texts of St. Francis de Sales cited in the book
Here you will find a compilation of the texts of St. Francis de Sales on vocation, love and counsels, cited or mentioned in the book Paths of Love.
Pleasure in things that is separate from love of God is a hindrance to the purity and growth of that love
The love of benevolence, then, causes in us a desire, more and more to increase the complacency which we take in the divine goodness; and to effect this increase, the soul sedulously deprives herself of all other pleasure that she may give herself more entirely to taking pleasure in God. A religious man asked the devout Brother Giles, one of the first and most holy companions of S. Francis, in what work he could be most agreeable to God: he answered by singing: "One to one," which he afterwards explained, saying, "Give ever your whole soul which is one, to God who is one." The soul pours itself out by pleasures, and the diversity of these dissipates and hinders her from being able to apply herself attentively to the pleasure which she ought to take in God. The glorious S. Paul reputed all things as dung and dirt in comparison of his Saviour. And the sacred spouse is wholly for her well-beloved only: My beloved to me and I to him. And if the soul that stands thus holily affected meet with creatures never so excellent, yea though they were angels, she makes no delay with them, save only what she needs for the help and furtherance of her desire. Tell me then, says she to them, tell me, I conjure you, have you seen him whom my soul loveth? ... The desire to increase holy complacency cuts off all other pleasure, to the end that it may more actively practise that to which the divine benevolence excites it. (Treatise on the Love of God V, ch. 7)
The counsels are helps to perfection, yet charity is always the supreme measure
A Commandment testifies a most entire and absolute will in him who gives it, but counsel only represents a will of desire: a commandment obliges us, counsel only invites us; a commandment makes the transgressors thereof culpable; counsel only makes such as do not follow it less worthy of praise; those who violate commandments deserve damnation, those who neglect counsels deserve only to be less glorified. There is a difference between commanding and recommending: in commanding we use authority to oblige, but in recommending we use friendliness to induce and incite: a commandment imposes necessity, counsel and recommendation induce to what is of greater utility: commandments correspond to obedience, counsels to credence: we follow counsel with intention to please, and commandments lest we should displease. And thence it is that the love of complacency which obliges us to please the beloved, consequently urges us to follow his counsels, and the love of benevolence, which desires that all wills and affections should be subjected unto him, causes that we not only will what he ordains, but also what he counsels and exhorts to: as the love and respect which a good child bears to his father make him resolve to live not only according to the commandments which his father imposes, but also according to the desires and inclinations which he manifests.
The counsels are indeed given for the benefit of him who is counseled, so that he may be perfect: "If you would be perfect," said the Saviour, "go sell all that you have, and give it to the poor, and follow me." But the loving heart does not receive a counsel for its utility, but to conform itself to the desire of him who gives the counsel, and to render him the homage due to his will. And God does not want each person to observe all the counsels, but only those that are appropriate to the diversity of persons, times, occasions, and abilities, as charity requires; for it is charity, as queen of all virtues, all commandments, all counsels, and in short, of all laws and all Christian actions, that gives to all of them their rank, order, time, and value.
If your assistance is truly necessary to your father or mother to enable them to live, it is no time to practice the counsel of retiring into a monastery, for charity ordains that you now put into execution its command of honoring, serving, aiding and helping your father or your mother. Perhaps you are a prince, by whose posterity the subjects of your crown should be preserved in peace, and assured against tyranny, sedition, and civil wars; the occasion, therefore, of so great a good, obliges you to beget legitimate successors in a holy marriage. It is either not to lose chastity, or at least to lose it chastely, when for love of charity it is sacrificed to the public good. Are you weak and uncertain in your health, and does it require great support? Do not then voluntarily undertake actual poverty, for this is forbidden you by charity. Charity not only forbids fathers of families to sell all and give it to the poor, but also commands them honestly to gather together what is requisite for the support and education of wife, children and servants: as also it commands kings and princes to lay up treasures, which, being acquired by a laudable frugality, and not by tyrannical measures, serve as wholesome defenses against visible enemies. Does not S. Paul counsel such as are married, that, the time of prayer being ended, they should return to the well-ordered course of their married life?
The counsels are all given for the perfection of the Christian people, but not for that of each Christian in particular. There are circumstances which make them sometimes impossible, sometimes unprofitable, sometimes perilous, sometimes hurtful to some men, which is one of the reasons why Our Saviour said of one of the counsels, what he would have to be understood of them all: He that can receive it, let him receive it: as though he had said, according to S. Jerome's exposition: he that can win and bear away the honor of chastity as a prize of renown, let him take it, for it is proposed to such as shall run valiantly. Not every one then is able, that is, it is not expedient for every one, to observe always all the counsels, for as they are granted in favor of charity, so is this the rule and measure by which they are put in practice.
When, therefore, charity so orders, monks and religious are drawn out of their cloisters to be made cardinals, prelates, parish-priests, yea sometimes they are even joined in matrimony for a kingdom's repose, as I have already said. And if charity make those leave their cloister that bad bound themselves thereto by solemn vow,—for better reason, and upon less occasion, one may by the authority of the same charity, counsel many to live at home, to keep their means, to marry, yea to turn soldiers and go to war, which is so perilous a profession.
Now when charity draws some to poverty and withdraws others from it, when she directs some to marriage and others to continence, when she shuts one up in a cloister and makes another quit it, she is not bound to give account thereof to any one: for she has the plenitude of power in Christian laws, as it is written: charity can do all things; she has the perfection of prudence, according to that: charity does nothing wrongly. And if any would contest, and demand why she so does, she will boldly make answer: The Lord hath need of it. All is made for charity, and charity for God. All must serve her and she none: no, she serves not her well-beloved, whose servant she is not, but his spouse, whom she does not serve, but love: for which cause we are to take our orders from her how to exercise counsels. To some she will appoint chastity without poverty, to others obedience and not chastity, to others fasting but not alms-deeds, to others alms-deeds and fasting, to others solitude and not the pastoral charge, to others intercourse with men and not solitude. In fine she is a sacred water, by which the garden of the church is fertilized, and though she herself have no color that can be called color, yet the flowers which she makes spring have each one its particular color. She makes Martyrs redder than the rose, Virgins whiter than the lily; some she dyes with the fine violet of mortification, others with the yellow of marriage-cares, variously employing the counsels, for the perfection of the souls who are so happy as to live under her conduct. (Treatise on the Love of God VIII, ch. 6).
An indifferent heart is inclined to follow the counsels
Indifference goes beyond resignation: for it loves nothing except for the love of God's will... The indifferent heart is as a ball of wax in the hands of its God, ready to receive equally all the impressions of the eternal good-pleasure; it is a heart without choice, equally disposed for everything, having no other object of its will than the will of its God, and it does not place its love in the things that God wills, but in the will of God who wills them. For this reason, when God's will is in several things, it chooses, at any cost, that thing in which it is most of all. God's good-pleasure is for marriage and in virginity, but because it is more in virginity, the indifferent heart makes choice of virginity though this must cost it its life, as with St. Paul's dear spiritual daughter St. Thecla, with St. Cecily, St. Agatha, and a thousand others. God's will is for the service of the poor and of the rich, but yet somewhat more in serving the poor; the indifferent heart will choose that side. God's will is in moderation practiced among consolations, and in patience among tribulations: the indifferent heart prefers the latter, as having more of God's will in it. (Treatise on the Love of God IX, ch. 4).
The firm will to serve God in a particular manner is a vocation
How then, while having so great a variety of vocations and so many different motivations, can we distinguish the good from the bad? And how can it be done without being fooled? Even if it seems that it might be very difficult, it is not such that we are entirely devoid of ways of recognizing when a vocation is a true one. For, among the many that I could cite, I will mention one, for it is the best of all. A true vocation is nothing other than the firm and constant will possessed by the person called, to want to serve God in the manner and in the place where the Divine Majesty calls her. This is the best mark one could have to know when a vocation is true.
But when I say "a firm and constant will to serve God," I do not mean that from the very beginning she would do everything that is necessary in her vocation with such a firmness and constancy of will that she is free of all repugnance, difficulty or distaste in what depends upon her. No, I do not mean that; still less that this firmness and constancy of will be such that she is devoid of committing faults, nor so strong that she would never waver or falter in the undertaking she has taken on herself to practice the means that could lead her to perfection. Oh! No indeed! That is not what I want to say. Every human person is subject to such passions, changes, and ups and downs. We are such that today we like one thing that we will not like tomorrow; one day is never the same as another (v11). Today we love humility and will say that it is a really desirable virtue, that it is the most beautiful and most necessary virtue of all and at this time we would like to use all our strength to acquire it. On the following day, it will be very distasteful to us, or at least we will not prize or think as much of it as we did yesterday. It will be said that it is certainly a great virtue, but even if it be great it will no longer be judged as the most desirable of all because to acquire it we must suffer, which is unpleasant. Then, after that, it is not even noticed, or only slightly at best. Do you see how changeable and inconstant we are? We must not judge the firmness and constancy of the will for a good that was earlier embraced, on the basis of such emotions and feelings. But we must consider whether among the variety of different feelings the will remains firm to the point of not leaving behind the good that it has embraced. Even if she feels disgusted or very cold in her love for any virtue, she doesn't on that account stop using the means that are laid down for her to acquire it. So to have the mark of a true vocation, it need not be a sensible constancy, but one that is in the highest part of the spirit, one such as produces effects.
To know whether God wants us to be a religious, we must not wait for the Divine Majesty to speak to us in some sensible way or that he send from heaven some Angel to point out his will for us. Even less so is there any need to have some private revelations about it. There is no need to have ten or twelve theologians from the Sorbonne ponder whether this is a true inspiration or not or whether it must be carried out. However, we must cultivate and correspond with the first impulse. Then we must not be troubled if any distaste or coldness comes after that. For, if we always try to keep our will very firm in wanting to discover the good that has been shown to us, God will not fail to make all redound to his glory. Now when I say this, I am not only speaking about you but also about women who are still in the world for whom we must show a concern and a desire to help them with all their truly good intentions. When they experience the first impulse a bit strongly, nothing appears difficult for them; it seems that they can overcome every difficulty. But when they experience ups and downs and when these feelings are no longer felt in the lower part of their nature, it seems to them that all is lost and that all should be left behind. For they want to enter at one time and they don't want to at another. What they are experiencing, then, is not enough to make them leave the world. They say: "I want to enter very much but I do not know whether it is God's will that I be a religious, since the inspiration that I feel right now doesn't seem strong enough. It is true, in fact, that I have had stronger desires than now, but since they don't last, it makes one doubt if it is a true inspiration. I have spoken about it to my parents or even to someone I don't remember who, where they are very supportive of me, but even that has passed, which leads me to believe that such an inspiration is not from God." Finally, it becomes necessary to examine everything a thousand times in order to know whether they should follow this inspiration.
Certainly, when I come across such persons, I am not at all surprised with their fits of distaste and lukewarmness. Still less do I believe that their vocation is less true because of them. But the only thing to be done in such a case is to take the time to help them by informing them not to be surprised in any way with these moods and ups and downs. Then encourage them to remain firm in spite of them. "Pay no attention to them," I tell them. "If you have been convinced by your parents, or by whomever, to become a religious, didn't you feel the inspiration or the impulse in your heart for the quest of so great a good?" They say, "Yes, that is in fact true, but even that has disappeared." "Yes," I rejoin, "perhaps the strength of the feeling but not in such a way that no affection for it still remains, since you say that you always feel, I don't know how to describe it, drawn in that direction." You say, "What troubles me is that this attraction doesn't seem strong enough for such a drastic step." But I answer this type of person: "Don't be troubled by your feelings, don't pay too much attention to them. Be satisfied with the firm resolve of your will, which amidst all that does not in any way lose sight of its primary goal or the love for it. Be very careful about cultivating and nurturing well this first impulse. Don't be anxious, no matter which direction it comes from. For God has many ways of calling his servants and using them for his service. Sometimes he uses sermons that are cast into the soil of hearts like a divine seed by the mouths of preachers. But God does not only use this one way to call his creatures to his service, even though it is one of the chief ways and one which he uses more than any other to convert non-Catholic Christians and the unbaptized and not only to make them Christians. Moreover, many have been touched and called by God to specific vocations through preaching, like Saint Nicholas of Tolentine was while listening to the sermon of a good priest who preached about the martyrdom of Saint Stephen. While hearing that Saint Stephen saw the heavens that were opened and the Son of God seated at the right hand of his Father, he was so touched that he resolved at that very instant to leave the world. From that moment on he never rested until he became a religious. What happened after having made known his intention and on being received, he became such a good religious that he lived and died in a most holy way. The example of those who have been called by God like him through preaching are almost too many to be counted.
[Religious life is a place of seeking perfection, not a place where everyone is already perfect]
I have already shown elsewhere that religious orders have been called hospitals in every age and religious are known by a Greek word which means healers because they are in a hospital to heal one another like the lepers of Saint Bridget (n19) (v36). We need not expect that those who enter religious life will be immediately perfect; it is enough for them to tend to perfection, and to embrace the means for growing in perfection. Our community, no more than any other religious community, is not a group of perfect women but rather a group of women who are aiming at and tending toward perfection. It is a school where we come to learn about the means that we must use to become perfect. And in order to do this, it is necessary to have this firm and constant will such as I spoke of, to embrace all the means of growing in perfection that are proper to the vocation in which one is called.
Therefore, it is not the tearful, sorrowfilled and sighing person who is the best one called; nor those who are consumed mostly with the cross, nor those who will not move from the chapel, nor those who are always in the hospital, nor even those who begin with a burst of fervor. We must not pay any attention to the tears of the weepers, nor listen to the sighs of the sighers, nor look for bearing and deportment to find those who are truly called. But we should look for those who have a good, strong and constant resolve to be healed and who because of that resolve work faithfully to recover their spiritual health.
Furthermore, we must in no way mistake as a sign of a good vocation those fervors that might make one discontent in her vocation and permit one to be consumed with some desires that are vain and only apparently good at best for a greater holiness of life. For while they are taken up with looking for what is most often not the best, they do not do the things which can make them perfect in the vocation that we have undertaken. We have an example of this very thing in the young Oratorian priest who was so fervent that it seemed to him that the Oratorian way of life was not perfect enough to satisfy his fervor. This is why he thought that he ought to leave them to enter a formal religious order (n20). On seeing this, the good Father Philip Neri (n21), who was his Superior, took him there himself. But on seeing this good religious entering with great fervor the place in which he foresaw that he ought not be, he wept bitterly. However, the good religious of this community, thinking that this came from the abundance of consolation that he was weeping, said to Father Philip Neri: "My Father, the consolation you are feeling must be very great indeed! It seems to us that you ought to moderate your tears a bit and not allow them to flow so abundantly." The blessed Philip Neri, illumined with a truly divine light, told them: "Oh! I am not weeping because of the consolation I am feeling. I am shedding tears of compassion on seeing this young man leaving one way of life so as to begin another, and while entering it with great fervor, he will nevertheless not persevere here." What happened later was what he had predicted.(Spiritual Conferences, Conf. 17)
It is foolish to spend a long time thinking about which of two good things is God's will, when there is only a slight difference between them
S. Basil says that God's will is made clear unto us by his ordinances or commandments, and that then there is no deliberation to be made, for we are simply to do what is ordained; but that for the rest we have freedom to choose what seems good according to our liking; though we are not to do all that is lawful but only what is expedient, and to clearly discern what is expedient we are to follow the advice of our spiritual father.
But, Theotimus, I am to warn you of a troublesome temptation which often crosses the way of such souls as have a great desire to do what is most according to God's will. For the enemy at every turn puts them in doubt whether it is God's will for them to do one thing rather than another; as for example, whether or not they should eat with a friend, whether they should wear gray or black clothes, whether they should fast Friday or Saturday, whether they should take recreation or abstain from it; and in this they lose much time, and while they are busy and anxious to find out what is the better, they unprofitably let slip the time for doing many good things, the effecting of which would be far more to God's glory, than this distinguishing between the good and the better, which has taken up their time, could possibly be.
We are not accustomed to weigh little money, but only valuable pieces: trading would be too troublesome and would devour too much time, if we were to weigh pence, halfpence, farthings and half-farthings. So we should not weigh every little action to know whether it is of more value than others; indeed there is often a kind of superstition in trying to make this examination; for to what end should we puzzle to know whether it were better to hear Mass in one church than in another, to spin than to sew, to give alms to a man rather than a woman? It is not good service to a master to spend as much time in considering what is to be done, as in doing the things which need to be done. We are to proportion our attention to the importance of what we undertake. It would be an ill-regulated carefulness to take as much trouble in deliberating over a journey of one day as over one of three or four hundred leagues.
The choice of one's vocation, the plan of some business of great consequence, of some work occupying much time, of some very great expenditure, the change of abode, the choice of society, and the like, deserve to be seriously pondered, in order to see what is most according to the will of God. But in little daily matters, in which even a mistake is neither of moment nor irreparable, what need is there to make a business of them, to scrutinize them, or to importunately ask advice about them? To what end should I put myself out to learn whether God would prefer me to say the Rosary or Our Lady's Office, since there can be no such difference between them, that a great examination need be held; that I should rather go to visit the sick in the hospital than to Vespers, or would prefer me to go to a sermon rather than to a church where there is an indulgence? Generally there is no such noteworthy importance in the one more than the other that it is needful to make any great deliberation. We must walk in good faith and without minute consideration in such matters, and, as S. Basil says, freely choose what seems to us good, so as not to weary our spirit, lose time, and put ourselves in danger of disquiet, scruples, and superstition. But I mean always where there is no great disproportion between the two works, and where there is no considerable circumstance on one side more than on the other.
And even in matters of moment we are to have great humility, and not to think we can find out God's will by force of examination and subtlety of discourse; but having implored the light of the Holy Spirit, applied our consideration to the seeking of his good-pleasure, taken the counsel of our director, and, perhaps, of two or three other spiritual persons, we must resolve and determine in the name of God, and must not afterwards question our choice, but devoutly, peacefully, and firmly keep and pursue it. And although the difficulties, temptations and the variety of circumstances which occur in the course of executing our design, might cause us some doubt as to whether we had made a good choice, yet we must remain settled, and not regard all this, but consider that if we had made another choice we had perhaps been a hundred times worse; to say nothing of our not knowing whether it be God's will that we should be exercised in consolation or desolation, in peace or war. The resolution being once holily taken, we are never to doubt of the holiness of the execution; for unless we fail it cannot fail. To act otherwise is a mark of great self-love, or of childishness, weakness and silliness of spirit. (Treatise on the Love of God VIII, ch. 14)
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Brachyopa insensilis es una especie de sírfido. Se distribuye por el paleártico en Eurasia.

Referencias

 Pape T. & Thompson F.C. (eds) (2016). Systema Dipterorum (version 2.0, Jan 2011). In: Species 2000 & ITIS Catalogue of Life, 2016 Annual Checklist (Roskov Y., Abucay L., Orrell T., Nicolson D., Flann C., Bailly N., Kirk P., Bourgoin T., DeWalt R.E., Decock W., De Wever A., eds). Digital resource at www.catalogueoflife.org/annual-checklist/2016. Species 2000: Naturalis, Leiden, the Netherlands.

Enlaces externos

insensilis
Dípteros de Europa
Dípteros del Asia paleártica
Insectos descritos en 1939

redpajama_set_name: RedPajamaWikipedia


This story demonstrates the pressure awaiting truly Religious Jews devoted to the teachings of the Torah who dare to speak out against the Zionists.
supervision of the Satmar organization.
Note that the Orthodox representatives participating at the demonstration were not members of the Satmar group. Although all anti-Zionist Orthodox Jews follow the teachings of Rabbi Yoel Teitelbaum of Satmar, not all are members of Satmar itself. Religious Zionists, however, tend to lump all anti-Zionist religious Jews as simply "Satmar."
A group of Satmar Jews from New York pause with Palestinian solidarity protestors on their march towards the U.S. Capitol Saturday, April 20, 2002, in Washington. Thousands of demonstrators protesting globalization, U.S. policy in the Mideast and other issues spread out at sites across the capital Saturday.
Due to the radio blitz from SATMAR and CRC that they are against Israel and FOR the PALESTINIANS, we are BOYCOTTING all products of the CRC and the Rabbis of Satmar. Please forward this email and list of companies that are using CRC or one of their Rabbis and ADD more names of companies that use CRC. Hang it in your shul and grocery stores. Hand it out to all your neighbors with the pictures of them supporting the P.L.O. Hashem Yishmor!


The North Central Railway(NCR), under the guidance of its General Manager, Shri M.C.Chauhan bagged the bronze medal for its stall at the recently concluded three-day All-India Railway Exhibition, organized in Bhopal from the 15th to the 17thof April. The exhibition was organized as a part of the 63rd railway week celebrations, which were held in the capital of Madhya Pradesh this year. A high-level committee evaluated more than 40 stalls put up in the campus of 'Bhopal Haat' by the 17 zonal railways, production units and railway-PSUs; highlighting their respective achievements and cumulatively the contributions of Indian Railways in the development and unification of the Nation. The stall of North Central Railway, which showcased rare photographs of railway heritage and history apart from attractive and informative visuals, audio-visual material, and models saw a large number of visitors thronging to it. Not only the non-railway visitors, but even railwaymen were seen spending considerable amount of time on NCR-stall, appreciating the sheer variety of exhibits put up on display. It was the concept, creativity & variety of the exhibits, and the depth of explanation given by the officers of NCR manning the stall that ensured that NCR returned with an All-India medal from the exhibition. The medal carried with it a cash award of Rs: 30,000/-.
Speaking on the achievement, GM/NCR said that NCR won a medal in the All-India level railway exhibition because of the creativity and commitment shown by the team of NCR officers and staff who participated in the exhibition. "I congratulate the team and am confident that they will continue to bring accolades for NCR in future also" he added.


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034 - The Colosseum 0
We who are about to podcast salute you! Titus comes back for one more round as he unveils his father's masterpiece: the Flavian Amphitheater, a.k.a. the Colosseum. The stadium on which all future stadia have been based is a magnificent creation, site of gladiatorial combat, public executions, and emperors giving thumbs up and thumbs down.
Dr Peta Greenfield of the Partial Historians podcast drops by to talk about Vespasian, Titus, and the gladiators themselves. We discuss visiting Rome, gorging on gelato, and the joys of exploring the living city.
The recipe is bruschetta, the perfect appetizer of which you've probably only had disappointing versions. Not this time, my friends. Not this time. Salvete!
033 - Pompeii and Herculaneum 0
The volcano Vesuvius still looms of the ruined Roman cities of Pompeii and Herculaneum, along the coast of Southern Italy. Dr. Fiona Radford from the Partial Historians stops by to discuss these accidental wonders: towns whose destruction have preserved a remarkable view of Roman daily life. We follow Pliny the Elder as he ventures to his death, pillow strapped to his head. There's chaos, destruction, drama, and weird fish sauce!
Plus I cannot be so close to Naples without talking about pizza, that most glorious gift to the world.
032 - Masada 0
A drama in three acts, all centered on the Fortress of Masada, a remarkable bastion perched above the Dead Sea in Israel. King Herod builds a pleasure palace, the Zealots make their last stand against Rome, and Israel returns at last. There are no heroes here, no villains, just complex people doing great and terrible deeds. Josephus, historian/traitor, takes us through the story of the Great Jewish Revolt and the destruction of the Temple.
Masada visitor Lisa Goldberg tells us about the experience of climbing up (and down again) and exploring the ruins. And we eat traditional holiday goodies: sufganiyot and just in time for Purim, hamantaschen. Plus Israeli breakfasts.
031a - The Two Bethlehems 0
A short bonus episode. Drew's daughter makes her first podcasting appearance as she tells you the story of the Two Bethlehems.
Bethlehem, Indiana is a popular place to mail Christmas cards, but there's more to its story than that!
031 - The Church of the Holy Sepulchre 0
Jesus Christ arrives on the scene, to the consternation of the Roman authorities and the Jewish establishment. We visit the Church of the Holy Sepulchre, site of his death and resurrection, and the holiest site in Christianity. What made Jesus so revolutionary? Garry Stevens from the History in the Bible podcast comes back to the show to talk about the historical aspects of the gospels, as we tell the story of that fateful weekend in April, nearly 2000 years ago.
Even better, Gary Arndt from everything-everywhere.com returns to describe his visit to the church during Holy Week and to Bethlehem.
And of course, there's food too, including Jerusalem mixed grill.
030 - The Catacombs of Kom el Shoqafa 0
Back to Alexandria we go to visit the Catacombs of Kom El Shoqafa, a little-known but fascinating burial chamber encapsulating the marriage of Egyptian, Greek and Roman cultures and traditions.
Talking about the marriage of Egyptian, Greek, and Roman, we meet Cleopatra, last pharaoh of Egypt and noted seductress of Julius Caesar and Mark Antony. Or was she? She might be one of the most consequential people in antiquity, and we try to get to the bottom of her story with Margot Collins from the Undressed Historia podcast.
What's more, Gary Arndt from everything-everywhere.com drops by to talk about visiting Alexandria, including scuba diving to see the remnants of the Lighthouse! Alexandria may not have much left from antiquity, but "age cannot wither her, nor custom stale her infinite variety." Sorry, obligatory Shakespeare line.
In the process, we'll talk about feteer, a sort of buttery, flaky, Alexandrian pizza. To Egypt!
029 - The Pont du Gard 0
Julius Caesar takes on Vercingetorix and the Gauls as we travel to Provence in Southern France. The Pont du Gard is a Roman aqueduct, the largest left standing, and it's just one of the many legacies the Romans left in the land of lavender and sunshine.
While here, we visit Avignon and spend a detour talking about the papacy and the Slap of Agnani - one of those surprising little histories we've all forgotten that had a tremendous impact on the world.
To eat, how about some ratatouille? Except that it's January and so good tomatoes are hard to find. So let's try soupe au pistou instead!
028a - Demetrius, Besieger of Cities 0
Bonus Episode! We have a running joke on this podcast about Demetrius Poliorcetes, Besieger of Cities. Despite having failed spectacularly at besieging Rhodes, he left a remarkable legacy across the Hellenistic world. Well, as a Christmas treat, I give you his full story.
It's AMAZING.
There is no full-length modern history of Demetrius, and there ought to be. He went from young upstart general to savior-god of Athens to death in a prison cell. Very few people had the ups and downs of this man, and in the process, he experienced many of our wonders in a way that few people have. And in a very real way, his story is our story, for good or for bad.
Many thanks to Plutarch for the primary material. And Happy Holidays!
027 - The Roman Forum - Part II 0
Back for Part II! Nitin Sil from the Flash Point History podcast joins me to discuss the Second Punic War, Hannibal, and Scipio. Was Hannibal crossing the Alps really a big deal? How did Rome win in the end?
I also talk about mathematician and defense contractor extraordinaire Archimedes and his antique death ray!
Plus, finally, a play-by-play of the Roman Forum, how to stroll the streets of modern Rome, and enjoying pecorino romano cheese. If you don't crave spaghetti cacio e pepe now, you will!
026 - The Roman Forum - Part I 2
An episode so big I had to break it in half! Here comes Rome, both the vibrant, chaotic, eye-catching capital of Italy, and the civilization that made that capital possible. This episode looks at the rise of Rome and the first Punic War with Carthage, that other great Mediterranean Empire.
We'll take side trips to Sicily as well as Tunisia to talk about cannoli and harissa. Worth it. In fact, I get so caught up talking about Rome vs Carthage that I don't even get to the Roman Forum itself. That's OK - there's always next week, when Part II will take us to the Eternal City for a sunset look at the ruins.
EPCOT: 1st Anniversary Bonus Episode 0
It's our FIRST ANNIVERSARY. To celebrate, let's explore EPCOT: a place you can visit many wonders of the world, all at once. Sort of. What you might not expect is its fascinating history and the weird vision Walt Disney had for his Experimental Prototype Community of Tomorrow.
There's also a "state of the podcast" bit at the end and a giant thank you to you for listening to me ramble all these months.
025 - The Terracotta Army of Xian 1
They stand row on row in silent guard of a long-dead autocrat. The Terracotta Army, built to defend the tomb of China's First Emperor, Qin Shi Huangdi, are the greatest archaeological discovery of the 20th century.
Joined by Abel Kay, we look into the story of the Emperor who unified China, and the ruthless path he took to do it.
We'll talk about scheming merchants, pretend eunuchs, beheaded generals, assassins, scholars buried alive, rivers of mercury, and the secret to immortality. Sound like enough for you?
We'll also explore Xian, imperial city, and sample some biang biang noodles and lamb bread soup.
On the way, there might be a detour to Indianapolis, because why not?
024 - The Theater of Dionysus 0
All the world is a stage, and the first stage was in Athens, the birthplace of tragedy. With Darby Vickers from the History of Greece podcast, we visit with the great playwrights, as Athens hits a great turning point: the Peloponnesian War.
That doesn't go well, and who's to blame? Surely not a homely old teacher in the Agora? Indeed. But his student will have the last laugh.
All this plus skordalia!
023 - The Parthenon 0
Athens has won the war against Persia, but now what? The Golden Age of Pericles, that's what! He's building temples, making money, enlarging an empire, all in the name of democracy. Darby Vickers from the History of Greece podcast stops by to talk about the Great Democrat as well as what it's like to visit the Parthenon today. The one in Athens, not the one in Nashville. She also talks about Greek bakeries and the joy that is spanakotiropita.
The intro today (my first one ever!) is from Lynn Perkins of the History of the Ottoman Empire podcast. He does fine work, and I can't wait to bug him when I get to Topkapi Palace.
022 - The Oracle of Delphi 0
The priestess of Apollo will answer your questions, if not how you expect. Will Athens survive the war with the Persians? Should Sparta march to help? Will you enjoy this episode on the Oracle of Delphi in Greece, featuring the brilliance of Alison Innes and Darrin Sunstrum from the MythTake podcast and Lantern Jack from Ancient Greece Declassified? Yes. Yes you will.
We'll talk about the Oracle, how it came to be and how it worked. We'll follow the Greeks in their war with the Persians. We'll visit Delphi and eat roast lamb and greens. You won't need gas rising from the temple floor to enjoy this one!
021 - The Eternal Fires of Mount Chimaera 0
Is this burning an eternal flame? Why yes. Yes, it is. Nestled in the hills of Lycia in southwestern Turkey, the Yanartaş of Mount Chimaera is a series of methane-fueled fires that have burnt for at least 2500 years. Lycia has a fascinating history and is well worth a quick detour from our narrative, so let's take a look.
Joining us is Roxanne from Mythology Translated, to share the myths of the chimaera and other fine folks. We'll also talk Ionia, to set us up for the great conflict between Persia and Greece.
And we'll have some sweet, sticky halva! Oh, and Santa Claus shows up. Sort of.
019 - The Mahabodhi Temple of Bodh Gaya 0
The prince who became an enlightened holy man, the Buddha took India by storm. We'll cover him and his contemporary Mahavira and two kings who followed their teaching while building India's first great empire: Chandragupta Maurya and Ashoka. It's storytelling time! Vivek Vasan helps out again and shares his mom's litti chokha recipe as we visit Bihar to see the great temple by the Bodhi Tree.
018 - The Ghats of Varanasi 0
Holiest site in Hinduism, Varanasi's riverside ghats are a swirl of color, faith, life, and death. We discuss the vedas, the great epics, and the development of Indian civilization with Vivek Vasan from the Historical India podcast.
017 - Mount Tai 0
Looming over Confucius' home province of Shandong, Mount Tai is the holiest place in Daoism, which means we can tackle both great philosophies while discussing feudal China and Shandong cuisine.
016 - The Western Wall of Jerusalem 0
The Jews had been exiled, came back, were exiled again, and have come back again. Through the process they changed a temple into a book, redefining religion. We'll see the Western Wall and talk Israeli breakfasts with Lara Rodin and Noah Lew, and Garry Stephens of the History in the Bible podcast helps us examine the biblical history.
015 - The Dead Sea 0
Near the shores of the salt-saturated Dead Sea, the Israelites wrote the world's most read book. Garry Stephens of the History in the Bible podcast helps us examine historical accuracy, while Lara Rodin and Noah Lew help us visit Israel. Plus falafel!
014 - The Temple of Ramesses at Abu Simbel 0
Ramesses the Great, public relations genius, takes us to Abu Simbel to visit his masterpiece of self-glorification. We talk about his reign and visiting Aswan with Dominic and Jack one last time. Plus ancient graffiti, singing kids on boats, and pudding!
013 - The Tombs of the Valley of the Kings 0
We're sticking around Luxor, Egypt, and crossing the Nile to visit the tombs of the New Kingdom pharaohs in the Valley of the Kings. We discuss Tut and Akhenaten. Plus pigeons! Dominic Perry and Lantern Jack stop by again to share their thoughts and tips.
012 - The Temples of Karnak and Luxor 0
We go to Luxor Egypt, ancient capital of the New Kingdom, to visit the great temples of Karnak and Luxor. We discuss Hatshepsut: a fascinating woman who became king. We also talk temple-side fries! Special thanks to Dominic Perry and Lantern Jack.
010 - Stonehenge 0
We go to Southwest England to see Stonehenge. We talk about the Neolithic revolution, Wales, Arthur and the Holy Grail, Bath, the Cotswolds, and clotted cream and scones. It's a lot! Thanks to Alexa Echlov and Rooksie Noorai for their help.


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