Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616954 | Journal of Mathematical Analysis and Applications | 2013 | 6 Pages |
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
Ju Myung Kim,