On uniform convexity of Banach spaces

被引：0
|
作者：
Qing Jin Cheng
Bo Wang
Cui Ling Wang
机构：
[1] Tsinghua University,Department of Mathematics
[2] Xiamen University,Department of Mathematics
[3] Jimei University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Uniformly convex space; Banach-Sakes property; Banach space; 46B20;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：587 / 594
页数：7
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