dc.creator | Tajmouati, Abdelaziz | |
dc.creator | El Bakkali, Abdeslam | |
dc.creator | Barki, Fatih | |
dc.date | 2019-05-31 | |
dc.date.accessioned | 2019-11-14T12:01:19Z | |
dc.date.available | 2019-11-14T12:01:19Z | |
dc.identifier | https://www.revistaproyecciones.cl/article/view/3578 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113691 | |
dc.description | Let T be a bounded linear operator on a Banach space X into itself. In this paper, we study the uniform ergodicity of the operator T|Y when Y is a closed subspace invariant under T. We show that if T satisfies, lim n → ∞ ‖ T n ‖ n = 0 , then T is uniformly ergodic on X if and only if the restriction of T to some closed subspace Y ⊂ X, invariant under T and R[(I − T)k] ⊂ Y for some integer k ≥ 1, is uniformly ergodic. Consequently, we obtain other equivalent conditions concerning the theorem of Mbekhta and Zemànek [9], theorem 1), also to the theorem of the Gelfand-Hille type.
| en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.relation | https://www.revistaproyecciones.cl/article/view/3578/3171 | |
dc.rights | Derechos de autor 2019 Proyecciones. Revista de Matemática | es-ES |
dc.rights | https://creativecommons.org/licenses/by-nc/4.0 | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 2 (2019); 315-324 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 2 (2019); 315-324 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.subject | Uniform ergodic theorem | en-US |
dc.subject | Cesàro averages | en-US |
dc.subject | Decomposition ergodic | en-US |
dc.subject | Ergodic theory | en-US |
dc.subject | Spectral sets | en-US |
dc.subject | Invariant subspaces | en-US |
dc.title | On the uniform ergodic theorem in invariant subspaces. | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |
dc.type | text | en-US |