Hypercyclic algebras for convolution and composition operators

[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,...

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Detalles Bibliográficos
Autores: Bès, J., Papathanasiou, D., Conejero, J. Alberto|||0000-0003-3681-7533
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/124314
Acceso en línea:https://riunet.upv.es/handle/10251/124314
Access Level:acceso abierto
Palabra clave:Hypercyclic algebras
Convolution operators
Composition operators
Hypercyclic subspaces
MATEMATICA APLICADA
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spelling Hypercyclic algebras for convolution and composition operatorsBès, J.Papathanasiou, D.Conejero, J. Alberto|||0000-0003-3681-7533Hypercyclic algebrasConvolution operatorsComposition operatorsHypercyclic subspacesMATEMATICA APLICADA[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.This work is supported in part by MEC, Project MTM 2016-7963-P. We also thank Angeles Prieto for comments and suggestions.ElsevierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20182018-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/octet-streamhttps://riunet.upv.es/handle/10251/124314reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-75963-P DINAMICA DE OPERADORESopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1243142026-06-13T07:49:27Z
dc.title.none.fl_str_mv Hypercyclic algebras for convolution and composition operators
title Hypercyclic algebras for convolution and composition operators
spellingShingle Hypercyclic algebras for convolution and composition operators
Bès, J.
Hypercyclic algebras
Convolution operators
Composition operators
Hypercyclic subspaces
MATEMATICA APLICADA
title_short Hypercyclic algebras for convolution and composition operators
title_full Hypercyclic algebras for convolution and composition operators
title_fullStr Hypercyclic algebras for convolution and composition operators
title_full_unstemmed Hypercyclic algebras for convolution and composition operators
title_sort Hypercyclic algebras for convolution and composition operators
dc.creator.none.fl_str_mv Bès, J.
Papathanasiou, D.
Conejero, J. Alberto|||0000-0003-3681-7533
author Bès, J.
author_facet Bès, J.
Papathanasiou, D.
Conejero, J. Alberto|||0000-0003-3681-7533
author_role author
author2 Papathanasiou, D.
Conejero, J. Alberto|||0000-0003-3681-7533
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Informática
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Hypercyclic algebras
Convolution operators
Composition operators
Hypercyclic subspaces
MATEMATICA APLICADA
topic Hypercyclic algebras
Convolution operators
Composition operators
Hypercyclic subspaces
MATEMATICA APLICADA
description [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.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/124314
url https://riunet.upv.es/handle/10251/124314
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2016-75963-P DINAMICA DE OPERADORES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/octet-stream
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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