Several remarks on ball-coverings of normed spaces

被引：0
作者：
Li Xin Cheng
Zheng Hua Luo
Xue Fang Liu
Wen Zhang
机构：
[1] Xiamen University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词：
Uniformly non-square; ball-covering; Banach space; 46B20; 46B03;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：1667 / 1672
页数：5
相关论文
共 26 条
[1]  
Cheng L.(2006)Ball-covering property of Banach spaces Israel J. Math. 156 111-123
[2]  
Cheng L.(2009)Minimal ball-coverings in Banach spaces and their application Studia Math. 192 15-27
[3]  
Cheng Q.(2008)Ball-covering property of Banach spaces is not preserved under linear isomorphisms Sci. China Ser. A 51 143-147
[4]  
Shi H.(2009)Every Banach space with a Sci. China Ser. A 52 1869-1874
[5]  
Cheng L.(2006)* separable dual has a 1 + J. Math. Study 39 39-43
[6]  
Liu X.(2009) equivalent norm with the ball-covering property Math. Ann. 344 939-945
[7]  
Cheng L.(2008)Ball-coverings property of Banach spaces (in Chinese) J. East China Norm. Univ. Natur. Sci. Ed. 3 8-11
[8]  
Shi H.(2008)Covering spheres of Banach spaces by balls Xiamen Daxue Xuebao Ziran Kexue Ban 47 797-800
[9]  
Zhang W.(2008)Relations between hereditarily indecomposable spaces and spaces with the ball-covering property (in Chinese) J. Math. Study 41 407-415
[10]  
Fu R.(2006)A neural network method for the minimum radius problem of ball coverings (in Chinese) Xiamen Daxue Xuebao Ziran Kexue Ban 45 621-623
123