Fredholmness of Toeplitz operators on the Fock space

Fulsche, R. and Hagger, R. (2019) Fredholmness of Toeplitz operators on the Fock space. Complex Analysis and Operator Theory, 13 (2). pp. 375-403. ISSN 1661-8262 doi: 10.1007/s11785-018-0803-8

Abstract/Summary

The Fredholm property of Toeplitz operators on the $p$-Fock spaces $F_\alpha^p$ on $\mathbb{C}^n$ is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz algebra $\mathcal{T}_{p,\alpha}$ on $F_\alpha^p$ in terms of the invertibility of limit operators is derived. This paper is based on previous work, which establishes corresponding results on the unit balls $\mathbb{B}^n$.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/84026
Identification Number/DOI	10.1007/s11785-018-0803-8
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer
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