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.

引用

页码：587 / 594

页数：8

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