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Ergodic properties of composition operators on Banach spaces of analytic functions

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Ergodic properties of composition operators on Banach spaces of analytic functions

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dc.contributor.author Jorda Mora, Enrique es_ES
dc.contributor.author Rodríguez-Arenas, Alberto es_ES
dc.date.accessioned 2021-07-21T03:31:28Z
dc.date.available 2021-07-21T03:31:28Z
dc.date.issued 2020-06-01 es_ES
dc.identifier.issn 0022-247X es_ES
dc.identifier.uri http://hdl.handle.net/10251/169645
dc.description.abstract [EN] The composition operators defined on little Bloch spaces, Bergman spaces, Hardy spaces or little weighted Bergman spaces of infinite type, when well defined, are shown to be mean ergodic if and only if they are power bounded if and only if the symbol has an interior fixed point. For these operators uniform mean ergodicity is equivalent to quasicompactness in the sense of Yosida and Kakutani. (C) 2020 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The present research was partially supported by the project MTM2016-76647-P. The second author was also partially supported by the grant PAID-01-16 of the Universitat Politecnica de Valencia. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Mathematical Analysis and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Composition operator es_ES
dc.subject Mean ergodic operator es_ES
dc.subject Uniformly mean ergodic operator es_ES
dc.subject Power bounded operator es_ES
dc.subject Bloch space,Bergman space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Ergodic properties of composition operators on Banach spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jmaa.2020.123891 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-01-16/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Jorda Mora, E.; Rodríguez-Arenas, A. (2020). Ergodic properties of composition operators on Banach spaces of analytic functions. Journal of Mathematical Analysis and Applications. 486(10):1-14. https://doi.org/10.1016/j.jmaa.2020.123891 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jmaa.2020.123891 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 14 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 486 es_ES
dc.description.issue 10 es_ES
dc.relation.pasarela S\420195 es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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