Approximation numbers of weighted  composition operators

Lechner,, Gandalf; Li, Daniel; Queffélec, Hervé; Rodríguez-Piazza, Luis

Type de document :

Partie d'ouvrage

Titre :

Approximation numbers of weighted composition operators

Auteur(s) :

Lechner,, Gandalf [Auteur]
Li, Daniel [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Queffélec, Hervé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rodríguez-Piazza, Luis [Auteur]

Date de publication :

2016-12-04

Mot(s)-clé(s) en anglais :

approximations numbers
Borchers triple
von Neumenn algebra
weighted composition operators

Discipline(s) HAL :

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

Résumé en anglais : [en]

We study the approximation numbers of weighted composition operators $f\mapsto w\cdot(f\circ\varphi)$ on the Hardy space $H^2$ on the unit disc. For general classes of such operators, upper and lower bounds on their ...
Lire la suite >We study the approximation numbers of weighted composition operators $f\mapsto w\cdot(f\circ\varphi)$ on the Hardy space $H^2$ on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For the special class of weighted lens map composition operators with specific weights, we show how much the weight $w$ can improve the decay rate of the approximation numbers, and give sharp upper and lower bounds. These examples are motivated from applications to the analysis of relative commutants of special inclusions of von Neumann algebras appearing in quantum field theory (Borchers triples).Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

1612.01177
Accès libre
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