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A note on mean ergodic composition operators on spaces of holomorphic functions

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A note on mean ergodic composition operators on spaces of holomorphic functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Domanski, Pawel es_ES
dc.date.accessioned 2014-10-03T12:36:11Z
dc.date.available 2014-10-03T12:36:11Z
dc.date.issued 2011-09
dc.identifier.issn 1578-7303
dc.identifier.uri http://hdl.handle.net/10251/40644
dc.description.abstract We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the composition operator being mean ergodic. We also describe the form of the symbol when the composition operator is mean ergodic. © 2011 The Author(s). es_ES
dc.description.sponsorship The research of Bonet was partially supported by MEC and FEDER Projects MTM2007-62643 and MTM2010-15200 and by GV Project Prometeo/2008/101. The research of Domanski was supported in years 2007-2010 by Ministry of Science and Higher Education, Poland, grant no. NN201 2740 33. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas es_ES
dc.rights Reconocimiento - No comercial (by-nc) es_ES
dc.subject Composition operators es_ES
dc.subject Mean ergodic operators es_ES
dc.subject Power bounded operators es_ES
dc.subject Spaces of holomorphic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A note on mean ergodic composition operators on spaces of holomorphic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-011-0009-7
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2007-62643/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS COMPLEJO Y LAS ECUACIONES EN DERIVADAS PARCIALES/ / es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MNiSW//NN201 2740 33/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ 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 Bonet Solves, JA.; Domanski, P. (2011). A note on mean ergodic composition operators on spaces of holomorphic functions. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 105(2):389-396. https://doi.org/10.1007/s13398-011-0009-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://link.springer.com/article/10.1007/s13398-011-0009-7 es_ES
dc.description.upvformatpinicio 389 es_ES
dc.description.upvformatpfin 396 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 105 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 193629
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministry of Science and Higher Education, Polonia es_ES
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