THE PROPERTY WORTH* AND THE WEAK FIXED POINT PROPERTY

被引：0

作者：

Dalby, Tim ^{[1
]}

机构：

[1] Univ So Queensland, Toowoomba, Qld 4350, Australia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 05期

关键词：

Properties WORTH; WORTH*; weak fixed point property; 1-unconditional basis; BANACH-LATTICES; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Banach space, X, has the weak fixed point property (w-FPP) if every nonexpansive mapping, T, on every weak compact convex nonempty subset, C, has a fixed point. A Banach space, X*, has WORTH* if for every weak* null sequence (x(n)*) and every x* is an element of X* lim(n) sup parallel to x(n)* - x*parallel to = lim(n) sup parallel to x(n)* + x*parallel to A new proof is given of the recent result that WORTH* implies the weak fixed point property.

引用

页码：919 / 927

页数：9

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