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Hypercyclic composition operators on spaces of real analytic functions

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Hypercyclic composition operators on spaces of real analytic functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Domański, Paweł es_ES
dc.date.accessioned 2014-10-06T09:53:53Z
dc.date.available 2014-10-06T09:53:53Z
dc.date.issued 2012-11
dc.identifier.issn 0305-0041
dc.identifier.uri http://hdl.handle.net/10251/40660
dc.description The full article appears in Mathematical Proceedings of the Cambridge Philosophical Society. Volume 153, Issue 3 (2012) Pages 489-503 published by Cambridge University Press. Available at: http://dx.doi.org/10.1017/S0305004112000266 es_ES
dc.description.abstract We study the dynamical behaviour of composition operators C φ defined on spaces A(Ω) of real analytic functions on an open subset Ω of ℝ d. We characterize when such operators are topologically transitive, i.e. when for every pair of non-empty open sets there is an orbit intersecting both of them. Moreover, under mild assumptions on the composition operator, we investigate when it is sequentially hypercyclic, i.e., when it has a sequentially dense orbit. If φ is a self map on a simply connected complex neighbourhood U of ℝ, U ≠ ℂ, then topological transitivity, hypercyclicity and sequential hypercyclicity of C φ: A(ℝ) → A(ℝ) are equivalent. © 2012 Cambridge Philosophical Society. es_ES
dc.description.sponsorship Supported by National Center of Science, Poland, grant no. NN201 605340. en_EN
dc.language Inglés es_ES
dc.publisher Cambridge University Press es_ES
dc.relation.ispartof Mathematical Proceedings of the Cambridge Philosophical Society es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Composition operarators es_ES
dc.subject Hypercyclic operators es_ES
dc.subject Spaces of real analytic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Hypercyclic composition operators on spaces of real analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1017/S0305004112000266
dc.relation.projectID info:eu-repo/grantAgreement/NCN//N N201 605340/
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.; Domański, P. (2012). Hypercyclic composition operators on spaces of real analytic functions. Mathematical Proceedings of the Cambridge Philosophical Society. 153(3):489-503. https://doi.org/10.1017/S0305004112000266 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1017/S0305004112000266 es_ES
dc.description.upvformatpinicio 489 es_ES
dc.description.upvformatpfin 503 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 153 es_ES
dc.description.issue 3 es_ES
dc.relation.senia 235763
dc.identifier.eissn 1469-8064
dc.contributor.funder National Science Centre, Polonia
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