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