%0 Journal Article
%T Weak Banach-Saks property in the space of compact operators
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Moosavi, B. Khadijeh
%A Moshtaghioun, S. Mohammad
%D 2014
%\ 04/01/2014
%V 40
%N 2
%P 521-530
%! Weak Banach-Saks property in the space of compact operators
%K weak Banach-Saks property
%K P- property
%K Schauder decomposition
%K compact operator
%K completely continuous operator
%R
%X For suitable Banach spaces $X$ and $Y$ with Schauder decompositions and a suitable closed subspace $mathcal{M}$ of some compact operator space from $X$ to $Y$, it is shown that the strong Banach-Saks-ness of all evaluation operators on ${mathcal M}$ is a sufficient condition for the weak Banach-Saks property of ${mathcal M}$, where for each $xin X$ and $y^*in Y^*$, the evaluation operators on $mathcal{M}$ are defined by $phi_x(T)= Tx$ and $psi_{y^*}(T)= T^*y^*.$
%U http://bims.iranjournals.ir/article_513_d1178361f94ff0d658d4159f2e3bc59b.pdf