Szczegóły publikacji
Opis bibliograficzny
Composition operators on Hilbert spaces of entire functions with analytic symbols / Jan Stochel, Jerzy Bartłomiej STOCHEL // Journal of Mathematical Analysis and Applications ; ISSN 0022-247X. — 2017 — vol. 454 iss. 2, s. 1019-1066. — Bibliogr. s. 1064-1066, Abstr. — Publikacja dostępna online od: 2017-05-19
Autorzy (2)
- Stochel Jan
- AGHStochel Jerzy Bartłomiej
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 111736 |
|---|---|
| Data dodania do BaDAP | 2018-01-22 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jmaa.2017.05.021 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Mathematical Analysis and Applications |
Abstract
Composition operators with analytic symbols on some reproducing kernel Hilbert spaces of entire functions on a complex Hilbert space are studied. The questions of their boundedness, seminormality and positivity are investigated. It is proved that if such an operator is bounded, then its symbol is a polynomial of degree at most 1, i.e., it is an affine mapping. Fock's type model for composition operators with linear symbols is established. As a consequence, explicit formulas for their polar decomposition, Aluthge transform and powers with positive real exponents are provided. The theorem of Carswell, MacCluer and Schuster is generalized to the case of Segal Bargmann spaces of infinite order. Some related questions are also discussed. (C) 2017 Elsevier Inc. All rights reserved.