Power bounded composition operators on spaces of analytic functions

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dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationEscuela Técnica Superior de Arquitectura
dc.contributor.affiliationInstituto Universitario de Matemática Pura y Aplicada
dc.contributor.authorBonet Solves, José Antonio
dc.contributor.authorDomanski, P.es_ES
dc.contributor.funderMinisterio de Educación y Cienciaes_ES
dc.contributor.funderGeneralitat Valencianaes_ES
dc.contributor.funderMinistry of Science and Higher Education, Poloniaes_ES
dc.date.accessioned2014-09-30T17:58:18Z
dc.date.available2014-09-30T17:58:18Z
dc.date.issued2011-01
dc.description.abstractWe study the dynamical behaviour of composition operators defined on spaces of real analytic functions. We characterize when such operators are power bounded, i.e. when the orbits of all the elements are bounded. In this case this condition is equivalent to the composition operator being mean ergodic. In particular, we show that the composition operator is power bounded on the space of real analytic functions on Omega if and only if there is a basis of complex neighbourhoods U of Omega such that the operator is an endomorphism on the space of holomorphic functions on each U.es_ES
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBonet Solves, JA.; Domanski, P. (2011). Power bounded composition operators on spaces of analytic functions. Collectanea Mathematica. 62(1):69-83. https://doi.org/10.1007/s13348-010-0005-9es_ES
dc.description.issue1es_ES
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dc.description.sponsorshipThe research of Bonet was partially supported by MEC and FEDER Project MTM2007-62643 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. The authors are very indebted to F. Bracci for providing some information concerning complex dynamics. The second named author is very grateful to colleagues from Valencia for warm hospitality during his stays there.en_EN
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dc.description.volume62es_ES
dc.identifier.doi10.1007/s13348-010-0005-9
dc.identifier.issn0010-0757
dc.identifier.urihttps://riunet.upv.es/handle/10251/40480
dc.languageIngléses_ES
dc.publisherSpringer Milanes_ES
dc.relation.ispartofCollectanea Mathematicaes_ES
dc.relation.projectIDinfo: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.projectIDinfo:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MNiSW//NN201 2740 33/es_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s13348-010-0005-9es_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectComposition operatores_ES
dc.subjectHyperbolic spaceses_ES
dc.subjectHypercyclic operatores_ES
dc.subjectMean ergodic operatores_ES
dc.subjectOrbites_ES
dc.subjectPower bounded operatores_ES
dc.subjectReal analytic manifoldes_ES
dc.subjectSpaces of real analytic functionses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titlePower bounded composition operators on spaces of analytic functionses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
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