130736 20240131210810.0 doi 10.1007/s11856-016-1417-3CES sideral 91941 ART-2016-91941 eng Abadías Ullod, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Cesàro sums and algebra homomorphisms of bounded operators 2016 Let X be a complex Banach space. The connection between algebra homomorphisms defined on subalgebras of the Banach algebra l1(N0) and fractional versions of Ces`aro sums of a linear operator T € B(X) is established. In particular, we show that every (C,alpha)-bounded operator T induces an algebra homomorphism — and it is in fact characterized by such an algebra homomorphism. Our method is based on some sequence kernels, Weyl fractional difference calculus and convolution Banach algebras that are introduced and deeply examined. To illustrate our results, improvements to bounds for Abel means, new insights on the (C, alpha)-boundedness of the resolvent operator for temperated alpha-times integrated semigroups, and examples of bounded homomorphisms are given in the last section. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/grantAgreement/ES/UZ/CUD2014-CIE-09 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.796 2016 MATHEMATICS 105 / 310 = 0.339 2016 Q2 T2 1.487 2016 Mathematics (miscellaneous) 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lizama, Carlos Miana, Pedro J. Universidad de Zaragoza (orcid)0000-0001-9430-343X Velasco M. Pilar (orcid)0000-0002-0988-2527 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 216, 1 (2016), 471-505 Isr. J. Math. Israel Journal of Mathematics 0021-2172 378894 http://zaguan.unizar.es/record/130736/files/texto_completo.pdf Postprint 614505 http://zaguan.unizar.es/record/130736/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130736 articulos driver 2024-01-31-19:17:01 ARTICLE