Banach spaces with a basis that are hereditarily asymptotically isometric to l1 and the fixed point property

被引：14
|
作者：
Fetter, Helga [1 ]
Gamboa de Buen, Berta [1 ]
机构：
[1] Ctr Invest Matemat CIMAT, Guanajuato 36000, Gto, Mexico
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 10期
关键词：
Asymptotically isometrically l(1); Fixed point property;
D O I：
10.1016/j.na.2009.03.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that there is an equivalent norm in a Banach space with a basis which is hereditarily asymptotically isometric to l(1) such that every subspace has in turn a subspace with the fixed point property. Also we give an example of a family of non-reflexive spaces not isomorphic to l(1) having the fixed point property and other related examples. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：4598 / 4608
页数：11
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