Approximation numbers of weighted  composition operators

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

Document type :

Partie d'ouvrage

Title :

Approximation numbers of weighted composition operators

Author(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]

Publication date :

2016-12-04

English keyword(s) :

approximations numbers
Borchers triple
von Neumenn algebra
weighted composition operators

HAL domain(s) :

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

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

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

1612.01177
Open access
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