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

被引：22

作者：

Cheng LiXin ^{[1
]}

Shi HuiHua ^{[1
]}

Zhang Wen ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 09期

基金：

中国国家自然科学基金;

关键词：

ball-covering property; renorming; Banach space; MAZUR INTERSECTION PROPERTY; COMPACT; PACKING; SETS;

D O I：

10.1007/s11425-009-0175-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 epsilon > 0 every Banach space with a w*-separable dual has a 1+epsilon-equivalent norm with the ball covering property.

引用

页码：1869 / +

页数：6

共 20 条

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