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

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文摘 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.
来源 Acta Mathematica Sinica. English Series ,2021,37(5):731-739 【核心库】
DOI 10.1007/s10114-021-0273-1
关键词 Super weak compactness ; absolute uniform retract ; Banach spaces
地址

School of Mathematical Sciences, Xiamen University, Xiamen, 361005

语种 英文
文献类型 研究性论文
ISSN 1439-8516
学科 数学
基金 Support by National Natural Science Foundation of China
文献收藏号 CSCD:6980064

参考文献 共 21 共2页

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