Aluthge transforms of unbounded weighted ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Aluthge transforms of unbounded weighted composition operators in L 2 ‐spaces
Auteur(s) :
Benhida, Chafiq [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Budzyński, Piotr [Auteur]
Trepkowski, Jacek [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Budzyński, Piotr [Auteur]
Trepkowski, Jacek [Auteur]
Titre de la revue :
Mathematical News / Mathematische Nachrichten
Pagination :
1888-1910
Éditeur :
Wiley-VCH Verlag
Date de publication :
2020-07-26
ISSN :
0025-584X
Discipline(s) HAL :
Mathématiques [math]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
Abstract We describe the Aluthge transform of an unbounded weighted composition operator acting in an L 2 ‐space. We show that its closure is also a weighted composition operator with the same symbol and a modified weight ...
Lire la suite >Abstract We describe the Aluthge transform of an unbounded weighted composition operator acting in an L 2 ‐space. We show that its closure is also a weighted composition operator with the same symbol and a modified weight function. We investigate its dense definiteness. We characterize p ‐hyponormality of unbounded weighted composition operators and provide results on how it is affected by the Aluthge transformation. We show that the only fixed points of the Aluthge transformation on weighted composition operators are quasinormal ones.Lire moins >
Lire la suite >Abstract We describe the Aluthge transform of an unbounded weighted composition operator acting in an L 2 ‐space. We show that its closure is also a weighted composition operator with the same symbol and a modified weight function. We investigate its dense definiteness. We characterize p ‐hyponormality of unbounded weighted composition operators and provide results on how it is affected by the Aluthge transformation. We show that the only fixed points of the Aluthge transformation on weighted composition operators are quasinormal ones.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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