The Riesz decomposition property for the space of regular operators

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Weak Banach-Saks property in the space of compact operators

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weak banach-saks property in the space of compact operators

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 op...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2000

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-00-05592-1