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Power bounded composition operators on spaces of analytic functions

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Power bounded composition operators on spaces of analytic functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Domanski, P. es_ES
dc.date.accessioned 2014-09-30T17:58:18Z
dc.date.available 2014-09-30T17:58:18Z
dc.date.issued 2011-01
dc.identifier.issn 0010-0757
dc.identifier.uri http://hdl.handle.net/10251/40480
dc.description.abstract We 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.sponsorship The 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
dc.language Inglés es_ES
dc.publisher Springer Milan es_ES
dc.relation.ispartof Collectanea Mathematica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Composition operator es_ES
dc.subject Hyperbolic spaces es_ES
dc.subject Hypercyclic operator es_ES
dc.subject Mean ergodic operator es_ES
dc.subject Orbit es_ES
dc.subject Power bounded operator es_ES
dc.subject Real analytic manifold es_ES
dc.subject Spaces of real analytic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Power bounded composition operators on spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13348-010-0005-9
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.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). Power bounded composition operators on spaces of analytic functions. Collectanea Mathematica. 62(1):69-83. https://doi.org/10.1007/s13348-010-0005-9 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s13348-010-0005-9 es_ES
dc.description.upvformatpinicio 69 es_ES
dc.description.upvformatpfin 83 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 62 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 193625
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministry of Science and Higher Education, Polonia es_ES
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