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arXiv · 1709.01457

Fredholmness of Toeplitz operators on the Fock space

Robert Fulsche·Raffael Hagger
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Abstract

The Fredholm property of Toeplitz operators on the $p$-Fock spaces $F_α^p$ on $\mathbb{C}^n$ is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz algebra $\mathcal{T}_{p,α}$ on $F_α^p$ 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 $\mathbb{B}^n$.

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Robert Fulsche, Raffael Hagger. 2018-11-08. Fredholmness of Toeplitz operators on the Fock space. https://doi.org/10.1007/s11785-018-0803-8

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