Right and Left Weak Approximation Properties in Banach Spaces

Author:

Choi Changsun,Kim Ju Myung,Lee Keun Young

Abstract

AbstractNew 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some Results on Approximation Properties of Lipschitz Maps;Results in Mathematics;2024-04-03

2. Approximation properties in terms of Lipschitz maps;Studia Mathematica;2023

3. Some Results on the p-Weak Approximation Property in Banach Spaces;Fundamental Journal of Mathematics and Applications;2022-10-03

4. Closed ideals in the algebra of compact-by-approximable operators;Journal of Functional Analysis;2022-02

5. Positive Approximation Properties of Banach Lattices;Taiwanese Journal of Mathematics;2018-06-01

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