On the essential spectra of Toeplitz operators on Bergman spaces of the bi-disc
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929210181812224 |
|---|---|
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07505 |
| 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 |