Toeplitz operators on non-reflexive Fock spaces
Robert Fulsche
Leibniz Universität Hannover, Germany
![Toeplitz operators on non-reflexive Fock spaces cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-40-issue-3.png&w=3840&q=90)
Abstract
We generalize several results on Toeplitz operators over reflexive, standard weighted Fock spaces to the non-reflexive cases . 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.
Cite this article
Robert Fulsche, Toeplitz operators on non-reflexive Fock spaces. Rev. Mat. Iberoam. 40 (2024), no. 3, pp. 1115–1148
DOI 10.4171/RMI/1459