Transference of ergodic properties of operators via matrix actions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917531492548608 |
|---|---|
| author | Santacreu, Daniel Sevilla-Peris, Pablo |
| author_facet | Santacreu, Daniel Sevilla-Peris, Pablo |
| contents | For operators defined on locally convex spaces we define the notions of boundedness and ergodicity associated to an infinite matrix. Given two matrices $ A$ and $ B$, we study when $ A$-bounded operators are $ B$-ergodic. Using this approach we obtain equivalent formulations for the classical notions of power boundedness, Cesàro boundedness and mean ergodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25684 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Transference of ergodic properties of operators via matrix actions Santacreu, Daniel Sevilla-Peris, Pablo Functional Analysis 47A35, 47B33, 47B48 For operators defined on locally convex spaces we define the notions of boundedness and ergodicity associated to an infinite matrix. Given two matrices $ A$ and $ B$, we study when $ A$-bounded operators are $ B$-ergodic. Using this approach we obtain equivalent formulations for the classical notions of power boundedness, Cesàro boundedness and mean ergodicity. |
| title | Transference of ergodic properties of operators via matrix actions |
| topic | Functional Analysis 47A35, 47B33, 47B48 |
| url | https://arxiv.org/abs/2605.25684 |