Weak Stability and Quasistability
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912159387090944 |
|---|---|
| author | Kubrusly, C. S. Vieira, P. C. M. |
| author_facet | Kubrusly, C. S. Vieira, P. C. M. |
| contents | It is known that weak l-sequential supercyclicity implies weak quasistability, and it is still unknown weather weak l-sequential supercyclicity implies weak stability, much less whether weak supercyclicity implies weak stability (although it is known for a long time that strong supercyclicity implies strong stability). It is shown that weak l-sequential supercyclicity implies weak stability under the assumption of boundedly spaced subsequences. It is given an example of a power bounded quasistable operator which is not weakly stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weak Stability and Quasistability Kubrusly, C. S. Vieira, P. C. M. Functional Analysis 47A16, 47A45 It is known that weak l-sequential supercyclicity implies weak quasistability, and it is still unknown weather weak l-sequential supercyclicity implies weak stability, much less whether weak supercyclicity implies weak stability (although it is known for a long time that strong supercyclicity implies strong stability). It is shown that weak l-sequential supercyclicity implies weak stability under the assumption of boundedly spaced subsequences. It is given an example of a power bounded quasistable operator which is not weakly stable. |
| title | Weak Stability and Quasistability |
| topic | Functional Analysis 47A16, 47A45 |
| url | https://arxiv.org/abs/2311.14151 |