History, Developments and Open Problems on Approximation Properties

Mathematics

Bentuo Zheng¹  JuMyung Kim² 

[1] Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152-3240, USA;Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea;

关键词: Banach space;    unconditional basis;    approximation property;   

DOI  :  10.3390/math8071117

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown