Titre :

Light groups of isomorphisms of Banach spaces and invariant LUR renormings

Auteur(s) :

Antunes, Leandro [Auteur]
Ferenczi, Valentin [Auteur]
Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rosendal, Christian [Auteur]

Titre de la revue :

Pacific Journal of Mathematics

Pagination :

31-54

Éditeur :

Mathematical Sciences Publishers

Date de publication :

2019

ISSN :

0030-8730

Mot(s)-clé(s) en anglais :

groups of isomorphisms of Banach spaces
isometry groups
light groups
renormings of Banach spaces
LUR renormings
invariant renormings.

Discipline(s) HAL :

Mathématiques [math]
Mathématiques [math]/Analyse fonctionnelle [math.FA]

Résumé en anglais : [en]

Megrelishvili defines in [17] light groups of isomorphisms of a Banach space as the groups on which the Weak and Strong Operator Topologies coincide, and proves that every bounded group of isomorphisms of Banach spaces ...
Lire la suite >Megrelishvili defines in [17] light groups of isomorphisms of a Banach space as the groups on which the Weak and Strong Operator Topologies coincide, and proves that every bounded group of isomorphisms of Banach spaces with the Point of Continuity Property (PCP) is light. We investigate this concept for isomorphism groups G of classical Banach spaces X without the PCP, specially isometry groups, and relate it to the existence of G-invariant LUR or strictly convex renormings of X.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Frontières de la théorie des opérateurs

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL