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Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions

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Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Bonilla, Antonio es_ES
dc.date.accessioned 2014-09-30T12:26:20Z
dc.date.available 2014-09-30T12:26:20Z
dc.date.issued 2013-02-11
dc.identifier.issn 1661-8254
dc.identifier.uri http://hdl.handle.net/10251/40457
dc.description.abstract Motivated by recent work on the rate of growth of frequently hypercyclic entire functions due to Blasco, Grosse-Erdmann and Bonilla, we investigate conditions to ensure that the differentiation operator is chaotic or frequently hypercyclic on generalized weighted Bergman spaces of entire functions studied by Lusky, whenever the differentiation operator is continuous. As a consequence we partially complete the knowledge of possible rates of growth of frequently hypercyclic entire functions for the differentiation operator. © 2011 Springer Basel AG. es_ES
dc.description.sponsorship J. Bonet is partially supported by MICINN and FEDER Projects MTM 2007-62643 and MTM2010-15200, GV Project Prometeo/2008/101 and UPV Project 2773. A. Bonilla is supported by MICINN and FEDER Project MTM2008-05891. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Complex Analysis and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Chaotic operator es_ES
dc.subject Differentiation operator es_ES
dc.subject Frequently hypercyclic operator es_ES
dc.subject Hypercyclic operator es_ES
dc.subject Weighted spaces of entire functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11785-011-0134-5
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/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ 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/UPV//2773/ES/Análisis funcional, operadores de composición y operadores pseudodiferenciales/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2008-05891/ES/ESPACIOS DE FUNCIONES ANALITICAS, DINAMICA DE OPERADORES Y ESTIMACIONES CON PESOS/ 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.; Bonilla, A. (2013). Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions. Complex Analysis and Operator Theory. 7(1):33-42. https://doi.org/10.1007/s11785-011-0134-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s11785-011-0134-5 es_ES
dc.description.upvformatpinicio 33 es_ES
dc.description.upvformatpfin 42 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 235791
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
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