On Absolute Uniform Retracts,Uniform Approximation Property and Super Weakly Compact Sets of Banach Spaces |
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| Authors: | Cheng Li Xin Cheng Qing Jin Wang Jian Jian |
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| Affiliation: | 1.School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China
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| Abstract: | 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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