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Right and Left Weak Approximation Properties in Banach Spaces

Published online by Cambridge University Press:  20 November 2018

Changsun Choi ,
Ju Myung Kim  and
Keun Young Lee
Changsun Choi
Affiliation:
Division of Applied Mathematics, KAIST, Daejeon 305-701, Korea e-mail: cschoi@kaist.ac.krnorthstar21@hanmail.net
Ju Myung Kim
Affiliation:
Division of Applied Mathematics, KAIST, Daejeon 305-701, Korea e-mail: cschoi@kaist.ac.krnorthstar21@hanmail.net
Keun Young Lee
Affiliation:
National Institute for Mathematical Sciences, Yuseong-gu, Daejeon 305-340, Korea e-mail: kjm21@nims.re.kr
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Abstract

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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

46B2846B10approximation propertyquasi approximation propertyweak approximation property

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 1 , 01 March 2009 , pp. 28 - 38
Copyright
Copyright © Canadian Mathematical Society 2009

References

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