On Hereditarily Indecomposable Banach Spaces  

作　　者：Li Xin CHENG Huai Jie ZHONG 

机构地区：[1]Department of Mathematics,Xiamen University [2]The Institute of Mathematical Sciences,The Chinese University of Hang Kong [3]Department of Mathematics,Fujian Normal University

出　　处：《Acta Mathematica Sinica,English Series》2006年第3期751-756,共6页数学学报（英文版）

基　　金：Research supported by NSFC(Grant No.10471114 and No.10471025)

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.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.

关 键 词：decomposition of spaces hereditarily indecomposable Banach space renormings 

分 类 号：O177.2[理学—数学]