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

被引：0
|
作者：
Li Xin Cheng
Qing Jin Cheng
Jian Jian Wang
机构：
[1] Xiamen University,School of Mathematical Sciences
来源：
Acta Mathematica Sinica, English Series | 2021年 / 37卷
关键词：
Super weak compactness; absolute uniform retract; Banach spaces; 46B20;
D O I：
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学科分类号：
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.
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页码：731 / 739
页数：8
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