On Uniform Convexity of Banach Spaces

被引：2
|
作者：
Cheng, Qing Jin [1 ,2 ]
Wang, Bo [2 ]
Wang, Cui Ling [3 ]
机构：
[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
[3] Jimei Univ, Dept Math, Xiamen 361021, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 03期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Uniformly convex space; Banach-Sakes property; Banach space; SETS;
D O I：
10.1007/s10114-011-9378-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：8
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