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Start Over Author "Mousavi, A. K." Search Limiters Full Text Topic compact operator
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1. WEAK BANACH-SAKS PROPERTY IN THE SPACE OF COMPACT OPERATORS.

Author

MOUSAVI, B. K. and MOSHTAGHIOUN, S. M.

Subjects
*BANACH modules (Algebra), *BANACH spaces, *BANACH algebras, *SCHAUDER bases, *COMPACT operators
Abstract

For suitable Banach spaces X and Y with Schauder decompositions and a suitable closed subspace M of some compact operator space from X to Y, it is shown that the strong Banach-Saks-ness of all evaluation operators on M is a sufficient condition for the weak Banach-Saks property of M, where for each x ε X and y* ε Y*, the evaluation operators on M are defined by ϕx(T) = Tx and Ψy*(T) = T*y* : [ABSTRACT FROM AUTHOR]

Published
2014

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