On uniform convexity of Banach spaces |
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| Authors: | Qing Jin Cheng Bo Wang Cui Ling Wang |
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| Institution: | [1]Department of Mathematics, Tsinghua University, Beijing 100084, P. R. China [2]Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China [3]Department of Mathematics, Jimei University, Xiamen 361021, P. R. China |
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| Abstract: | This paper gives some relations and properties of several kinds of generalized convexity in Banach spaces. As a result, it
proves that every kind of uniform convexity implies the Banach-Sakes property, and several notions of uniform convexity in
literature are actually equivalent. |
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| Keywords: | Uniformly convex space Banach-Sakes property Banach space |
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