Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915785487679488 |
|---|---|
| author | Doğan, Nazlı |
| author_facet | Doğan, Nazlı |
| contents | We characterize the topologizability and power boundedness of convolution and dual convolution operators on power series spaces. We determine necessary conditions for a Toeplitz operator to be m-topologizable, and power bounded on $Λ_{1}(n)$ and $Λ_{\infty}(n)$, and consequently on $H(\mathbb{C})$ and $H(\mathbb{D})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces Doğan, Nazlı Functional Analysis Complex Variables 46A45, 47B37, 47A35 We characterize the topologizability and power boundedness of convolution and dual convolution operators on power series spaces. We determine necessary conditions for a Toeplitz operator to be m-topologizable, and power bounded on $Λ_{1}(n)$ and $Λ_{\infty}(n)$, and consequently on $H(\mathbb{C})$ and $H(\mathbb{D})$. |
| title | Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces |
| topic | Functional Analysis Complex Variables 46A45, 47B37, 47A35 |
| url | https://arxiv.org/abs/2507.00897 |