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Main Author: Gül, Uǧur
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.07505
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author Gül, Uǧur
author_facet Gül, Uǧur
contents In this note we deal with the problem of determining the essential spectrum of a Toeplitz operator $T_{f}:A^{2}(\mathbb{D}^{2})\rightarrow A^{2}(\mathbb{D}^{2})$ acting on the Bergman space $A^{2}(\mathbb{D}^{2})$ of the bi-disc whose symbol $f\in C(\overline{\mathbb{D}^{2}})$ lies in the space of continuous functions on the closure $\overline{\mathbb{D}^{2}}$ of the bi-disc.
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institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the essential spectra of Toeplitz operators on Bergman spaces of the bi-disc
Gül, Uǧur
Functional Analysis
In this note we deal with the problem of determining the essential spectrum of a Toeplitz operator $T_{f}:A^{2}(\mathbb{D}^{2})\rightarrow A^{2}(\mathbb{D}^{2})$ acting on the Bergman space $A^{2}(\mathbb{D}^{2})$ of the bi-disc whose symbol $f\in C(\overline{\mathbb{D}^{2}})$ lies in the space of continuous functions on the closure $\overline{\mathbb{D}^{2}}$ of the bi-disc.
title On the essential spectra of Toeplitz operators on Bergman spaces of the bi-disc
topic Functional Analysis
url https://arxiv.org/abs/2401.07505