84203 20200716101435.0 doi 10.1016/j.laa.2018.10.002 sideral 108639 ART-2019-108639 eng (orcid)0000-0003-2453-7841 Abadias, L. Universidad de Zaragoza Growth orders and ergodicity for absolutely Cesàro bounded operators 2019 Access copy available to the general public Unrestricted In this paper, we extend the concept of absolutely Cesàro boundedness to the fractional case. We construct a weighted shift operator belonging to this class of operators, and we prove that if T is an absolutely Cesàro bounded operator of order α with 0< α <=1, then ‖Tn‖=o(n^α), generalizing the result obtained for α=1. Moreover, if α > 1, then ‖Tn‖=O(n). We apply such results to get stability properties for the Cesàro means of bounded operators. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.988 2019 0.897 2019 MATHEMATICS 115 / 324 = 0.355 2019 Q2 T2 Algebra and Number Theory 2019 Q1 MATHEMATICS, APPLIED 157 / 260 = 0.604 2019 Q3 T2 Discrete Mathematics and Combinatorics 2019 Q1 Geometry and Topology 2019 Q2 Numerical Analysis 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Bonilla, A. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 561 (2019), 253-267 Linear algebra appl. LINEAR ALGEBRA AND ITS APPLICATIONS 0024-3795 141183 http://zaguan.unizar.es/record/84203/files/texto_completo.pdf Postprint 68739 http://zaguan.unizar.es/record/84203/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:84203 articulos driver 2020-07-16-08:54:09 ARTICLE