Every Banach space with a w*-separable dual hasa 1+ε-equivalent norm with the ball covering property  

作　　者：CHENG LiXin, SHI HuiHua & ZHANG Wen School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 

出　　处：《Science China Mathematics》2009年第9期1869-1874,共6页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10471114,10771175)

摘　　要：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*-separable dual has a 1+ε-equivalent norm with the ball covering property.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*-separable dual has a 1+ε-equivalent norm with the ball covering property.

关 键 词：BALL-COVERING PROPERTY RENORMING BANACH space 

分 类 号：O177.2[理学—数学]