SIMILARITY PROBLEMS, FØLNER SETS AND ...
Type de document :
Compte-rendu et recension critique d'ouvrage
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]
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
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 >
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 :
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