On the super fixed point property in product spaces

被引：11

作者：

Wisnicki, Andrzej ^{[1
]}

机构：

[1] Marie Curie Sklodowska Univ, Math Inst, PL-20031 Lublin, Poland

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 236卷 / 02期

关键词：

super fixed point property; super-reflexive space; nonexpansive mapping; direct sum; product space;

D O I：

10.1016/j.jfa.2006.03.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if F is a finite-dimensional Banach space and X has the super fixed point property for nonexpansive mappings, then F circle plus X has the super fixed point property with respect to a large class of norms including all l(P) norms, 1 <= p < infinity. This provides a solution to the "super-version" of the problem of Khamsi (1989). (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：447 / 456

页数：10

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