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- Title
Toeplitz operators on non-reflexive Fock spaces.
- Authors
Fulsche, Robert
- Abstract
We generalize several results on Toeplitz operators over reflexive, standard weighted Fock spaces F p t to the non-reflexive cases p = 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.
- Subjects
FOCK spaces; TOEPLITZ operators; FREDHOLM operators; REPRESENTATIONS of algebras; ALGEBRA
- Publication
Revista Mathematica Iberoamericana, 2024, Vol 40, Issue 3, p1115
- ISSN
0213-2230
- Publication type
Article
- DOI
10.4171/RMI/1459