Titre :

SIMILARITY PROBLEMS, FØLNER SETS AND ISOMETRIC REPRESENTATIONS OF AMENABLE SEMIGROUPS

Auteur(s) :

Badea, Catalin [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Suciu, Laurian [Auteur]

Titre de la revue :

Mediterranean Journal of Mathematics

Éditeur :

Springer Verlag

Date de publication :

2019

ISSN :

1660-5446

Mot(s)-clé(s) en anglais :

2010 Mathematics Subject Classification. 47A05
47A15
43A07 operators similar to isometries
unitarizable representations
amenable semigroups
Følner conditions

Discipline(s) HAL :

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

Résumé en anglais : [en]

We revisit Sz.-Nagy's criteria for similarity of Hilbert space bounded linear operators to isometries or unitaries and present new ones. We also discuss counterparts of the Dixmier-Day theorem concerning bounded representations ...
Lire la suite >We revisit Sz.-Nagy's criteria for similarity of Hilbert space bounded linear operators to isometries or unitaries and present new ones. We also discuss counterparts of the Dixmier-Day theorem concerning bounded representations of amenable groups and semigroups. We highlight the role of Følner sets in similarity problems in both settings of unimodular, σ-compact, amenable groups and in discrete semigroups possessing the Strong Følner condition (SFC).Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL