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.

引用

页码：751 / 756

页数：6

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