On hereditarily indecomposable Banach spaces

被引：2
|
作者：
Cheng, Li Xin [1 ]
Zhong, Huai Jie
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
[2] Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China
[3] Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 03期
关键词：
decomposition of spaces; hereditarily; indecomposable Banach space; renormings;
D O I：
10.1007/s10114-005-0614-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper shows that every non-separable hereditarily indecomposable Banach space admits an equivalent strictly convex norm. but its bi-dual can never have, such a one; consequently, every non-separable hereditarily indecomposable Banach space has no equivalent locally uniformly convex norm.
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页码：751 / 756
页数：6
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