RENORMING

作品数：3被引量：16H指数：3
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相关期刊：《Science China Mathematics》《Acta Mathematica Sinica,English Series》更多>>
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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 
Every Weakly Compact Set Can Be Uniformly Embedded into a Reflexive Banach Space被引量：8
《Acta Mathematica Sinica,English Series》2009年第7期1109-1112,共4页Li Xin CHENG Qing Jin CHENG Zheng Hua LUO Wen ZHANG 
Supported by NSFC Grant No. 10771175
Based on an application of the Davis-Figiel-Johnson-Pelzyski procedure, this note shows that every weakly compact subset of a Banach space can be uniformly embedded into a reflexive Banach space. As its application, w...
关键词：Banach space weakly compact set RENORMING 
Convex Functions, Subdifferentiability and Renormings被引量：3
《Acta Mathematica Sinica,English Series》1998年第1期47-56,共10页Cheng Lixin Wu Congxin Xue Xiaoping Yao Xiaobo Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China Department of Mathematics, Harbin Institute of Technology, Harbin 150006, China 
NSFC
This paper through discussing subdifferentiability and convexity of convex functions shows that a Banach space admits an equivalent uniformly [locally uniformly, strictly] convex norm if and only if there exists a con...
关键词：Convex function Differentiabilit RENORMING Uniformly convex Banach space 
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