Harnack and Shmul'yan pre-order relations ...
Document type :
Pré-publication ou Document de travail
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
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
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 >
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
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