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 $psi_{y^*}(T)= T^*y^*.$
Moosavi, B. K., & Moshtaghioun, S. M. (2014). Weak Banach-Saks property in the space of compact operators. Bulletin of the Iranian Mathematical Society, 40(2), 521-530.
MLA
B. Khadijeh Moosavi; S. Mohammad Moshtaghioun. "Weak Banach-Saks property in the space of compact operators". Bulletin of the Iranian Mathematical Society, 40, 2, 2014, 521-530.
HARVARD
Moosavi, B. K., Moshtaghioun, S. M. (2014). 'Weak Banach-Saks property in the space of compact operators', Bulletin of the Iranian Mathematical Society, 40(2), pp. 521-530.
VANCOUVER
Moosavi, B. K., Moshtaghioun, S. M. Weak Banach-Saks property in the space of compact operators. Bulletin of the Iranian Mathematical Society, 2014; 40(2): 521-530.