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dc.contributor.author | Beltrán Meneu, María José | es_ES |
dc.contributor.author | Gómez Collado, María Del Carmen | es_ES |
dc.contributor.author | Jorda Mora, Enrique | es_ES |
dc.contributor.author | Jornet Casanova, David | es_ES |
dc.date.accessioned | 2020-02-14T21:02:25Z | |
dc.date.available | 2020-02-14T21:02:25Z | |
dc.date.issued | 2016 | es_ES |
dc.identifier.issn | 0022-1236 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/136957 | |
dc.description.abstract | [EN] Given a symbol cc, i.e., a holomorphic endomorphism of the unit disc, we consider the composition operator C-phi(f) = f circle phi defined on the Banach spaces of holomorphic functions A(D) and H-infinity(D). We obtain different conditions on the symbol phi which characterize when the composition operator is mean ergodic and uniformly mean ergodic in the corresponding spaces. These conditions are related to the asymptotic behavior of the iterates of the symbol. Finally, we deal with some particular case in the setting of weighted Banach spaces of holomorphic functions. | es_ES |
dc.description.sponsorship | This research was partially supported by MINECO, Project MTM2013-43540-P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Functional Analysis | 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 | Denjoy Wolff point | es_ES |
dc.subject | Disc algebra | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Mean ergodic composition operators on Banach spaces of holomorphic functions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jfa.2016.03.003 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Beltrán Meneu, MJ.; Gómez Collado, MDC.; Jorda Mora, E.; Jornet Casanova, D. (2016). Mean ergodic composition operators on Banach spaces of holomorphic functions. Journal of Functional Analysis. 270(12):4369-4385. https://doi.org/10.1016/j.jfa.2016.03.003 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jfa.2016.03.003 | es_ES |
dc.description.upvformatpinicio | 4369 | es_ES |
dc.description.upvformatpfin | 4385 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 270 | es_ES |
dc.description.issue | 12 | es_ES |
dc.relation.pasarela | S\321033 | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |