BALL-COVERING

作品数：5被引量：12H指数：3
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相关领域：理学更多>>
相关期刊：《Acta Mathematica Scientia》《Science China Mathematics》《Acta Mathematica Sinica,English Series》更多>>
相关基金：国家自然科学基金福建省自然科学基金更多>>
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THE BALL-COVERING PROPERTY ON DUAL SPACES AND BANACH SEQUENCE SPACES
《Acta Mathematica Scientia》2021年第2期461-474,共14页Shaoqiang SHANG 
supported by the“China Natural Science Fund”under grant 11871181;the“China Natural Science Fund”under grant 12026423.
In this paper,we prove that(X,p)is separable if and only if there exists a w^(*)-lower semicontinuous norm sequence{p_(n)}_(n=1)^(∞)of(X^(*),p)such that(1)there exists a dense subset G_(n)of X^(*)such that p_(n)is Ga...
关键词：Ball-covering property separable space Gateaux differentiable point weak^(*)exposed point 
Characterizations of Universal Finite Representability and B-convexity of Banach Spaces via Ball Coverings被引量：2
《Acta Mathematica Sinica,English Series》2012年第7期1369-1374,共6页Wen ZHANG 
Supported by National Natural Science Foundation of China (Grant Nos. 10771175, 10801111 and 11101340);the Natural Science Foundation of Fujian Province (Grant No. 2010J05012) ;the Fundamental Research Funds for the Central Universities (Grant Nos. 2010121001 and 2011121039)
By a ball-covering B of a Banach space X, we mean that B is a collection of open （or closed） balls off the origin whose union contains the unit sphere of X; and X is said to have the ball-covering property provided ...
关键词：BALL-COVERING finite representability CONVEXITY universal space Banach space 
Several Remarks on Ball-Coverings of Normed Spaces被引量：4
《Acta Mathematica Sinica,English Series》2010年第9期1667-1672,共6页Li Xin CHENG Zheng Hua LUO Xue Fang LIU Wen ZHANG 
Supported by National Natural Science Foundation of China (Grant No. 10771175)
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.
关键词：Uniformly non-square BALL-COVERING Banach space 
Every Banach space with a w*-separable dual hasa 1+ε-equivalent norm with the ball covering property被引量：6
《Science China Mathematics》2009年第9期1869-1874,共6页CHENG LiXin, SHI HuiHua & ZHANG Wen School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 
supported by National Natural Science Foundation of China (Grant Nos.10471114,10771175)
A normed space is said to have ball-covering property if its unit sphere can be contained in the union of countably many open balls off the origin. This paper shows that for every ε>0 every Banach space with a w*-sep...
关键词：BALL-COVERING PROPERTY RENORMING BANACH space 
Ball-covering property of Banach spaces that is not preserved under linear isomorphisms被引量：12
《Science China Mathematics》2008年第1期143-147,共5页CHENG LiXin CHENG QingJin LIU XiaoYan 
Supported by the National Natural Science Foundation of China (Grant No. 10471114)
By a ball-covering B of a Banach space X, we mean that it is a collection of open balls off the origin whose union contains the sphere of the unit ball of X. The space X is said to have a ball-covering property, if it...
关键词：BALL-COVERING isomorphic invariant Gateaux differentiability space Banach space 46B20 46G05 
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