SIMILARITY PROBLEMS, FØLNER SETS AND ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
SIMILARITY PROBLEMS, FØLNER SETS AND ISOMETRIC REPRESENTATIONS OF AMENABLE SEMIGROUPS
Author(s) :
Badea, Catalin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Suciu, Laurian [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Suciu, Laurian [Auteur]
Journal title :
Mediterranean Journal of Mathematics
Publisher :
Springer Verlag
Publication date :
2019
ISSN :
1660-5446
English keyword(s) :
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
HAL domain(s) :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
English abstract : [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 ...
Show more >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).Show less >
Show more >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).Show less >
Language :
Anglais
Popular science :
Non
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