COMPOSITION OPERATORS ON DE BRANGES-ROVNYAK SPACES ASSOCIATED TO A RATIONAL (NOT INNER) FUNCTION
Résumé
In this paper, we characterize the boundedness, the compactness and the Hilbert-Schmidt property for composition operators acting from a de Branges-Rovnyak space $\mathcal H(b)$ into itself, when $b$ is a rational function in the closed unit ball of $H^\infty$ (but not a finite Blaschke product). In particular, we extend some of the results obtained by D. Sarason and J.N. Silva in the context of local Dirichlet spaces.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|---|
| Licence |