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dc.creatorTajmouati, Abdelaziz
dc.creatorEl Bakkali, Abdeslam
dc.creatorBarki, Fatih
dc.date2019-05-31
dc.date.accessioned2019-11-14T12:01:19Z
dc.date.available2019-11-14T12:01:19Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3578
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113691
dc.descriptionLet 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.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/3578/3171
dc.rightsDerechos de autor 2019 Proyecciones. Revista de Matemáticaes-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 38 No 2 (2019); 315-324en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 38 Núm. 2 (2019); 315-324es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectUniform ergodic theoremen-US
dc.subjectCesàro averagesen-US
dc.subjectDecomposition ergodicen-US
dc.subjectErgodic theoryen-US
dc.subjectSpectral setsen-US
dc.subjectInvariant subspacesen-US
dc.titleOn the uniform ergodic theorem in invariant subspaces.en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES
dc.typetexten-US


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