000057100 001__ 57100 000057100 005__ 20200221144153.0 000057100 0248_ $$2sideral$$a94853 000057100 037__ $$aART-2016-94853 000057100 041__ $$aeng 000057100 100__ $$0(orcid)0000-0003-2453-7841$$aAbadías Ullod, Luciano$$uUniversidad de Zaragoza 000057100 245__ $$aA Katznelson-Tzafriri type theorem for Cesàro bounded operators 000057100 260__ $$c2016 000057100 5060_ $$aAccess copy available to the general public$$fUnrestricted 000057100 5203_ $$aWe 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. 000057100 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P$$9info:eu-repo/grantAgreement/ES/DGA/E64 000057100 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000057100 590__ $$a0.535$$b2016 000057100 591__ $$aMATHEMATICS$$b197 / 310 = 0.635$$c2016$$dQ3$$eT2 000057100 592__ $$a0.791$$b2016 000057100 593__ $$aMathematics (miscellaneous)$$c2016$$dQ2 000057100 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000057100 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000057100 773__ $$g234 (2016), 59-82$$pStud. Math.$$tSTUDIA MATHEMATICA$$x0039-3223 000057100 8564_ $$s245049$$uhttps://zaguan.unizar.es/record/57100/files/texto_completo.pdf$$yVersión publicada 000057100 8564_ $$s68585$$uhttps://zaguan.unizar.es/record/57100/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000057100 909CO $$ooai:zaguan.unizar.es:57100$$particulos$$pdriver 000057100 951__ $$a2020-02-21-13:08:17 000057100 980__ $$aARTICLE