On Absolute Uniform Retracts, Uniform Approximation Property and Super Weakly Compact Sets of Banach Spaces  

作　　者：Li Xin CHENG Qing Jin CHENG Jian Jian WANG 

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen 361005,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第5期731-739,共9页数学学报（英文版）

基　　金：Support by National Natural Science Foundation of China(Grant Nos.11731010,12071389)。

摘　　要：In this paper,we show that every super weakly compact convex subset of a Banach space is an absolute uniform retract,and that it also admits the uniform compact approximation property.These can be regarded as extensions of Lindenstrauss and Kalton's corresponding results.

关 键 词：Super weak compactness absolute uniform retract Banach spaces 

分 类 号：O177.2[理学—数学]