Titre :

Generic properties of lp -contractions and similar operator topologies

Auteur(s) :

Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Matheron, Etienne [Auteur]
Université d'Artois [UA]
Menet, Quentin [Auteur]
Université de Mons / University of Mons [UMONS]

Titre de la revue :

Israel Journal of Mathematics

Éditeur :

Springer

Date de publication :

2024

ISSN :

0021-2172

Mot(s)-clé(s) en anglais :

lp -spaces
typical properties
comeager sets
points of continuity
norming vectors
operator topologies

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

If X is a separable reflexive Banach space, there are several natural Polish topologies on B1pXq, the set of contraction operators on X (none of which being clearly “more natural” than the others), and hence several a ...
Lire la suite >If X is a separable reflexive Banach space, there are several natural Polish topologies on B1pXq, the set of contraction operators on X (none of which being clearly “more natural” than the others), and hence several a priori different notions of genericityin the Baire category sense– for properties of contraction operators. So it makes sense to investigate to which extent the generic properties, i.e. the comeager sets, really depend on the chosen topology on B1(X)...Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Frontières de la théorie des opérateurs
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL