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Right and Left Weak Approximation Properties in Banach Spaces |
Published:2009-03-01
Printed: Mar 2009
Printed: Mar 2009
- Changsun Choi
- Ju Myung Kim
- Keun Young Lee
Abstract
New necessary and sufficient conditions are established for Banach
spaces to have the approximation property; these conditions are
easier to check than the known ones. A shorter proof of a result
of Grothendieck is presented, and some properties of a weak
version of the approximation property are addressed.
| Keywords: | approximation property, quasi approximation property, weak approximation property |
| MSC Classifications: |
46B28 - Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20] 46B10 - Duality and reflexivity [See also 46A25] |