Toeplitz operators on non-reflexive Fock spaces
- verfasst von
- Robert Fulsche
- Abstract
We generalize several results on Toeplitz operators over reflexive, standard weighted Fock spaces Ftp to the non-reflexive cases p D 1; 1. Among these results are the characterization of compactness and the Fredholm property of such operators, a well-known representation of the Toeplitz algebra, and a characterization of the essential center of the Toeplitz algebra. Further, we improve several results related to correspondence theory, e.g., we improve previous results on the correspondence of algebras and we give a correspondence theoretic version of the well-known Berger–Coburn estimates.
- Organisationseinheit(en)
-
Institut für Analysis
- Typ
- Artikel
- Journal
- Revista Matematica Iberoamericana
- Band
- 40
- Seiten
- 1115-1148
- Anzahl der Seiten
- 34
- ISSN
- 0213-2230
- Publikationsdatum
- 31.01.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Allgemeine Mathematik
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.2202.11440 (Zugang:
Offen)
https://doi.org/10.4171/RMI/1459 (Zugang: Offen)
