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Operator Ideals arising from Generating Sequences (1101.2085v1)

Published 11 Jan 2011 in math.FA

Abstract: In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be demonstrated.

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