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Hypercyclic algebras for convolution and composition operators

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Hypercyclic algebras for convolution and composition operators

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dc.contributor.author Bès, J. es_ES
dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Papathanasiou, D. es_ES
dc.date.accessioned 2019-07-28T20:01:28Z
dc.date.available 2019-07-28T20:01:28Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0022-1236 es_ES
dc.identifier.uri http://hdl.handle.net/10251/124314
dc.description.abstract [EN] We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator D of complex differentiation supports a hypercyclic algebra on the space of entire functions. In particular we obtain hypercyclic algebras for many convolution operators not induced by polynomials, such as , , or , where . In contrast, weighted composition operators on function algebras of analytic functions on a plane domain fail to support supercyclic algebras. es_ES
dc.description.sponsorship This work is supported in part by MEC, Project MTM 2016-7963-P. We also thank Angeles Prieto for comments and suggestions. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Functional Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hypercyclic algebras es_ES
dc.subject Convolution operators es_ES
dc.subject Composition operators es_ES
dc.subject Hypercyclic subspaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Hypercyclic algebras for convolution and composition operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jfa.2018.02.003 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ 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 Bès, J.; Conejero, JA.; Papathanasiou, D. (2018). Hypercyclic algebras for convolution and composition operators. Journal of Functional Analysis. 274(10):2884-2905. https://doi.org/10.1016/j.jfa.2018.02.003 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jfa.2018.02.003 es_ES
dc.description.upvformatpinicio 2884 es_ES
dc.description.upvformatpfin 2905 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 274 es_ES
dc.description.issue 10 es_ES
dc.relation.pasarela S\380714 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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