Toeplitz operators on non-reflexive Fock spaces
- authored by
- 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.
- Organisation(s)
-
Institute of Analysis
- Type
- Article
- Journal
- Revista Matematica Iberoamericana
- Volume
- 40
- Pages
- 1115-1148
- No. of pages
- 34
- ISSN
- 0213-2230
- Publication date
- 31.01.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2202.11440 (Access:
Open)
https://doi.org/10.4171/RMI/1459 (Access: Open)
