Several Remarks on Ball-Coverings of Normed Spaces 被引量：4

Several Remarks on Ball-Coverings of Normed Spaces

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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. 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.

作者 Li Xin CHENG Zheng Hua LUO Xue Fang LIU Wen ZHANG

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第9期1667-1672,共6页 数学学报（英文版）

基金 Supported by National Natural Science Foundation of China (Grant No. 10771175)

关键词 Uniformly non-square BALL-COVERING Banach space Uniformly non-square, ball-covering, Banach space

分类号 O177.3 [理学—基础数学] O177.2 [理学—基础数学]

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参考文献5

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二级参考文献16

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共引文献15

1CHENG LiXin, SHI HuiHua & ZHANG Wen School of Mathematical Sciences, Xiamen University, Xiamen 361005, China.Every Banach space with a w*-separable dual hasa 1+ε-equivalent norm with the ball covering property[J].Science China Mathematics,2009,52(9):1869-1874. 被引量：6
2CHENG LiXin,CHENG QingJin,LIU XiaoYan.Ball-covering property of Banach spaces that is not preserved under linear isomorphisms[J].Science China Mathematics,2008,51(1):143-147. 被引量：11
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5林国琛,沈喜生.计算球覆盖最小半径的神经网络方法[J].厦门大学学报（自然科学版）,2008,47(6):797-800. 被引量：2
6林丽华,张风,张敏.n-维赋范空间单位球极小球覆盖数2n-1与包含等距同构于(R^(n-1)，‖‖∞)的子空间[J].数学研究,2008,41(4):407-415. 被引量：5
7程立新,施慧华,张文.对偶ω*-可分的Banach空间上存在具有球覆盖性质的1+ε-等价范数[J].中国科学（A辑）,2009,39(2):177-182.
8王波.两类赋予w~＊-可分对偶的空间的BCP[J].数学研究,2010,43(4):393-396. 被引量：2
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同被引文献22

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3CHENG LiXin,CHENG QingJin,LIU XiaoYan.Ball-covering property of Banach spaces that is not preserved under linear isomorphisms[J].Science China Mathematics,2008,51(1):143-147. 被引量：11
4马玉梅.ISOMETRIES OF THE UNITE SPHERE[J].Acta Mathematica Scientia,1992,12(4):366-373. 被引量：4
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6施慧华,张皛晶.R^n空间中单位球面的极小球覆盖[J].厦门大学学报（自然科学版）,2006,45(5):621-623. 被引量：6
7张晶晶.R^n空间中单位球面覆盖的半径问题[J].数学研究,2007,40(1):109-113. 被引量：7
8林丽华.单位球极小球覆盖数为n+l的n-维赋范空间的性质[J].淮北煤炭师范学院学报（自然科学版）,2008,29(1):18-22. 被引量：2
9林丽华.遗传不可分解空间与具有球覆盖性质空间的关系[J].华东师范大学学报（自然科学版）,2008(3):8-11. 被引量：2
10林国琛,沈喜生.计算球覆盖最小半径的神经网络方法[J].厦门大学学报（自然科学版）,2008,47(6):797-800. 被引量：2

引证文献4

1王婷,臧睿.一致非l^(1)4 Banach空间的球覆盖特征[J].哈尔滨师范大学自然科学学报,2020,36(2):1-6.
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Acta Mathematica Sinica,English Series

2010年第9期

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