Spectral and ergodic properties of the operator $B(r,s)$ over power series spaces $Λ_\infty(α)$ of infinite type and their duals
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916885160787968 |
|---|---|
| author | Albanese, Angela A. Mele, Claudio |
| author_facet | Albanese, Angela A. Mele, Claudio |
| contents | In this paper, we investigate the spectral and ergodic properties of the linear operator $B(r,s)$ acting on power series spaces $Λ_\infty(α)$ of infinite type and on their strong duals. Precisely, we provide a complete characterization of its fine spectrum and establish necessary and sufficient conditions for the operator to be power bounded and (uniformly) mean ergodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05315 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral and ergodic properties of the operator $B(r,s)$ over power series spaces $Λ_\infty(α)$ of infinite type and their duals Albanese, Angela A. Mele, Claudio Functional Analysis In this paper, we investigate the spectral and ergodic properties of the linear operator $B(r,s)$ acting on power series spaces $Λ_\infty(α)$ of infinite type and on their strong duals. Precisely, we provide a complete characterization of its fine spectrum and establish necessary and sufficient conditions for the operator to be power bounded and (uniformly) mean ergodic. |
| title | Spectral and ergodic properties of the operator $B(r,s)$ over power series spaces $Λ_\infty(α)$ of infinite type and their duals |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.05315 |