A Katznelson-Tzafriri type theorem for Cesàro bounded operators

Abadías Ullod, Luciano (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

Año: 2016

Publicado en: STUDIA MATHEMATICA 234 (2016), 59-82
ISSN: 0039-3223

Factor impacto JCR: 0.535 (2016)

Categ. JCR: MATHEMATICS rank: 197 / 310 = 0.635 (2016) - Q3 - T2

Factor impacto SCIMAGO: 0.791 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)