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.

引用

页码：4598 / 4608

页数：11

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