57100 20200221144153.0 sideral 94853 ART-2016-94853 eng (orcid)0000-0003-2453-7841 Abadías Ullod, Luciano Universidad de Zaragoza A Katznelson-Tzafriri type theorem for Cesàro bounded operators 2016 Access copy available to the general public Unrestricted We extend the well-known Katznelson-Tzafriri theorem, originally posed for power-bounded operators, to the case of Cesàro bounded operators of any order alpha > 0. For this purpose, we use a functional calculus between a new class of fractional Wiener algebras and the algebra of bounded linear operators, defined for operators with the corresponding Cesàro boundedness. Finally, we apply the main theorem to get ergodicity results for the Cesàro means of bounded operators. info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.535 2016 MATHEMATICS 197 / 310 = 0.635 2016 Q3 T2 0.791 2016 Mathematics (miscellaneous) 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 234 (2016), 59-82 Stud. Math. STUDIA MATHEMATICA 0039-3223 245049 http://zaguan.unizar.es/record/57100/files/texto_completo.pdf Versión publicada 68585 http://zaguan.unizar.es/record/57100/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:57100 articulos driver 2020-02-21-13:08:17 ARTICLE