Separable Lindenstrauss spaces whose duals lack the weak* fixed point property for nonexpansive mappings

被引：9

作者：

Casini, Emanuele ^{[1
]}

Miglierina, Enrico ^{[2
]}

Piasecki, Lukasz ^{[3
]}

机构：

[1] Univ Insubria, Dipartimento Sci & Alta Tecnol, Via Valleggio 11, I-22100 Como, Italy

[2] Univ Cattolica Sacro Cuore, Dipartimento Discipline Matemat Finanza Matemat &, Via Necchi 9, I-20123 Milan, Italy

[3] Uniwersytet Marii Curie Sklodowskiej, Inst Matemat, Pl Marii Curie Sklodowskiej 1, PL-20031 Lublin, Poland

来源：

STUDIA MATHEMATICA | 2017年 / 238卷 / 01期

关键词：

nonexpansive mappings; w*-fixed point property; Lindenstrauss spaces;

D O I：

10.4064/sm8237-12-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the w*-fixed point property for nonexpansive mappings. First we show that the dual space X* lacks the w*-fixed point property whenever X contains an isometric copy of c. Then, the main result of our paper provides several characterizations of weak-star topologies that fail the fixed point property for nonexpansive mappings in l(1). This result allows us to obtain a characterization of all separable Lindenstrauss spaces X with X* failing the w*-fixed point property.

引用

页码：1 / 16

页数：16

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