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Mean ergodic multiplication operators on weighted spaces of continuous functions

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Mean ergodic multiplication operators on weighted spaces of continuous functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Jorda Mora, Enrique es_ES
dc.contributor.author Rodríguez-Arenas, Alberto es_ES
dc.date.accessioned 2019-09-11T20:01:22Z
dc.date.available 2019-09-11T20:01:22Z
dc.date.issued 2018 es_ES
dc.identifier.issn 1660-5446 es_ES
dc.identifier.uri http://hdl.handle.net/10251/125578
dc.description.abstract [EN] Multiplication operators on weighted Banach spaces and locally convex spaces of continuous functions have been thoroughly studied. In this note, we characterize when continuous multiplication operators on a weighted Banach space and on a weighted inductive limit of Banach spaces of continuous functions are power bounded, mean ergodic or uniformly mean ergodic. The behaviour of the operator on weighted inductive limits depends on the properties of the defining sequence of weights and it differs from the Banach space case. es_ES
dc.description.sponsorship The research of Bonet was partially supported by Project Prometeo/2017/102 of the Generalitat Valenciana. The authors authors were also partially supported by MINECO Project MTM2016-76647-P. Rodriguez also thanks the support of the Grant PAID-01-16 of the Universitat Politecnica de Valencia. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mediterranean Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach spaces of continuous functions es_ES
dc.subject Weighted inductive limits es_ES
dc.subject Multiplication operator es_ES
dc.subject Mean ergodic operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Mean ergodic multiplication operators on weighted spaces of continuous functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00009-018-1150-8 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.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-01-16/
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 Bonet Solves, JA.; Jorda Mora, E.; Rodríguez-Arenas, A. (2018). Mean ergodic multiplication operators on weighted spaces of continuous functions. Mediterranean Journal of Mathematics. 15(3):1:108-11:108. https://doi.org/10.1007/s00009-018-1150-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s00009-018-1150-8 es_ES
dc.description.upvformatpinicio 1:108 es_ES
dc.description.upvformatpfin 11:108 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\367662 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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