Titre :

Harnack and Shmul'yan pre-order relations for Hilbert space contractions

Auteur(s) :

Badea, Catalin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Suciu, Laurian [Auteur]
Universitatea "Lucian Blaga" Sibiu

Mot(s)-clé(s) en anglais :

Harnack pre-order
Shmul'yan pre-order
Hilbert space contractions
asymptotic limit
quasi normal operators
partial isometries
Toeplitz operators

Discipline(s) HAL :

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

Résumé en anglais : [en]

We study the behavior of some classes of Hilbert space contractions with respect to the Harnack and Shmul'yan pre-order relations. We also discuss the corresponding equivalence relations, as well as an extension, recently ...
Lire la suite >We study the behavior of some classes of Hilbert space contractions with respect to the Harnack and Shmul'yan pre-order relations. We also discuss the corresponding equivalence relations, as well as an extension, recently considered by S. ter Horst, of the Shmul'yan pre-order from contractions to the operator-valued Schur class of functions.Lire moins >

Langue :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL