Title :

Generic properties of lp -contractions and similar operator topologies

Author(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]

Journal title :

Israel Journal of Mathematics

Publisher :

Springer

Publication date :

2024

ISSN :

0021-2172

English keyword(s) :

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

HAL domain(s) :

Mathématiques [math]

English abstract : [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 ...
Show more >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)...Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

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