Article ID Journal Published Year Pages File Type
4616954 Journal of Mathematical Analysis and Applications 2013 6 Pages PDF
Abstract

We study bounded approximation properties of operators. It is shown that for every weakly compact operator TT on a Banach space XX, if TT is uniformly approximated on each compact subset of XX by finite rank operators, then T2T2 can be approximated in the same topology by finite rank operators with the operator norm less than or equal to ‖T‖2‖T‖2.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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