Details
| Original language | English |
|---|---|
| Pages (from-to) | 1115-1148 |
| Number of pages | 34 |
| Journal | Revista Matematica Iberoamericana |
| Volume | 40 |
| Issue number | 3 |
| Publication status | Published - 31 Jan 2024 |
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.
Keywords
- correspondence theory, Fock spaces, Toeplitz algebras
ASJC Scopus subject areas
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In: Revista Matematica Iberoamericana, Vol. 40, No. 3, 31.01.2024, p. 1115-1148.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Toeplitz operators on non-reflexive Fock spaces
AU - Fulsche, Robert
N1 - Publisher Copyright: © 2024 Real Sociedad Matemática Española.
PY - 2024/1/31
Y1 - 2024/1/31
N2 - 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.
AB - 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.
KW - correspondence theory
KW - Fock spaces
KW - Toeplitz algebras
UR - http://www.scopus.com/inward/record.url?scp=85192864243&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2202.11440
DO - 10.48550/arXiv.2202.11440
M3 - Article
AN - SCOPUS:85192864243
VL - 40
SP - 1115
EP - 1148
JO - Revista Matematica Iberoamericana
JF - Revista Matematica Iberoamericana
SN - 0213-2230
IS - 3
ER -