History, Developments and Open Problems on Approximation Properties

Ju Myung Kim and Bentuo Zheng
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Ju Myung Kim: Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
Bentuo Zheng: Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152-3240, USA

Mathematics, 2020, vol. 8, issue 7, 1-14

Abstract: In this paper, we give a comprehensive review of the classical approximation property. Then, we present some important results on modern variants, such as the weak bounded approximation property, the strong approximation property and p -approximation property. Most recent progress on E -approximation property and open problems are discussed at the end.

Keywords: Banach space; unconditional basis; approximation property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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