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

Emanuele Casini; Enrico Miglierina; Łukasz Piasecki; Lukasz Piasecki

doi:10.4064/sm8237-12-2016

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

Emanuele Casini, Enrico Miglierina, Łukasz Piasecki, Lukasz Piasecki

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

6 Citazioni (Scopus)

Abstract

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 ℓ1. This result allows us to obtain a characterization of all separable Lindenstrauss spaces X with X∗ failing the w∗-fixed point property.

Lingua originale	English
pagine (da-a)	1-16
Numero di pagine	16
Rivista	Studia Mathematica
Volume	238
DOI	https://doi.org/10.4064/sm8237-12-2016
Stato di pubblicazione	Pubblicato - 2017

Keywords

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

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AU - Piasecki, Lukasz

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AB - 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 ℓ1. This result allows us to obtain a characterization of all separable Lindenstrauss spaces X with X∗ failing the w∗-fixed point property.

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ER -

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

Abstract

Keywords

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