Title :

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

Author(s) :

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

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL