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]

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

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 >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL