Several remarks on ball-coverings of normed spaces

被引：11

作者：

Cheng, Li Xin ^{[1
]}

Luo, Zheng Hua ^{[1
]}

Liu, Xue Fang ^{[1
]}

Zhang, Wen ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Uniformly non-square; ball-covering; Banach space; BANACH-SPACES; PROPERTY; SPHERES;

D O I：

10.1007/s10114-010-9036-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents two counterexamples about ball-coverings of Banach spaces and shows a new characterization of uniformly non-square Banach spaces via ball-coverings.

引用

页码：1667 / 1672

页数：6

共 18 条

[1]

CHENG L, ISRAEL J MA IN PRESS

[2] Ball-covering property of Banach spaces that is not preserved under linear isomorphisms [J].

Cheng LiXin ;

Cheng QingJin ;

Liu XiaoYan .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (01) :143-147

[3] Ball-covering property of Banach spaces [J].

Cheng, Lixin .

ISRAEL JOURNAL OF MATHEMATICS, 2006, 156 (1) :111-123

[4] A note on ball-covering property of Banach spaces [J].

Cheng, Lixin ;

Kadets, Vladimir ;

Wang, Bo ;

Zhang, Wen .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 371 (01) :249-253

[5] Minimal ball-coverings in Banach spaces and their application [J].

Cheng, Lixin ;

Cheng, Qingjin ;

Shi, Huihua .

STUDIA MATHEMATICA, 2009, 192 (01) :15-27

[6] Every Banach space with a w*-separable dual has a 1+ε-equivalent norm with the ball covering property [J].

Cheng LiXin ;

Shi HuiHua ;

Zhang Wen .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (09) :1869-+

[7] Covering spheres of Banach spaces by balls [J].

Fonf, Vladimir P. ;

Zanco, Clemente .

MATHEMATISCHE ANNALEN, 2009, 344 (04) :939-945

[8]

[傅瑞瑜 Fu Ruiyu], 2006, [数学研究, Journal of Mathematical Study], V39, P39

[9] Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings [J].

García-Falset, J ;

Llorens-Fuster, E ;

Mazcuñan-Navarro, EM .

JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 233 (02) :494-514

[10] SUPER-REFLEXIVE BANACH SPACES [J].

JAMES, RC .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1972, 24 (05) :896-904

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