Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions

An operator Tacting on a separable F-space Xis called hypercyclic if there exists f ∈ X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-commutes with the operator of differentiation on the space of entire functions is hypercyclic, extending results by G. Godefroy a...

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Autores: Bensaid, Ikram Fatima Zohra, González Ortiz, Manuel, León-Saavedra, Fernando, Romero de la Rosa, María Pilar
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/32433
Acceso en línea:https://hdl.handle.net/10902/32433
Access Level:acceso abierto
Palabra clave:Space of entire functions
Differentiation operator
Extended eigenoperators
Hypercyclic operators
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spelling Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functionsBensaid, Ikram Fatima ZohraGonzález Ortiz, ManuelLeón-Saavedra, FernandoRomero de la Rosa, María PilarSpace of entire functionsDifferentiation operatorExtended eigenoperatorsHypercyclic operatorsAn operator Tacting on a separable F-space Xis called hypercyclic if there exists f ∈ X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-commutes with the operator of differentiation on the space of entire functions is hypercyclic, extending results by G. Godefroy and J. H. Shapiro and R. M. Aron and D. Markose.The first author is supported by Aula Universitaria del Estrecho, Plan Propio UCA-Internacional. The remaining authors are supported by Ministerio de Ciencia, Innovación y Universidades (Spain), grants MTM2016-76958, PGC2018-101514-B-I00, PID2019-103961GB-C22, and Vicerrectorado de Investigación de la Universidad de Cádiz. This work has been co-financed by the 2014-2020 ERDF Operational Programme and by the Department of Economy, Knowledge, Business and University of the Regional Govern-ment of Andalusia. Project reference: FEDER-UCA18-108415.ElsevierUniversidad de Cantabria20222022-04-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/32433Journal of Functional Analysis, 2022, 282(8), 109391reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/324332026-06-02T12:39:31Z
dc.title.none.fl_str_mv Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
title Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
spellingShingle Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
Bensaid, Ikram Fatima Zohra
Space of entire functions
Differentiation operator
Extended eigenoperators
Hypercyclic operators
title_short Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
title_full Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
title_fullStr Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
title_full_unstemmed Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
title_sort Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
dc.creator.none.fl_str_mv Bensaid, Ikram Fatima Zohra
González Ortiz, Manuel
León-Saavedra, Fernando
Romero de la Rosa, María Pilar
author Bensaid, Ikram Fatima Zohra
author_facet Bensaid, Ikram Fatima Zohra
González Ortiz, Manuel
León-Saavedra, Fernando
Romero de la Rosa, María Pilar
author_role author
author2 González Ortiz, Manuel
León-Saavedra, Fernando
Romero de la Rosa, María Pilar
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Space of entire functions
Differentiation operator
Extended eigenoperators
Hypercyclic operators
topic Space of entire functions
Differentiation operator
Extended eigenoperators
Hypercyclic operators
description An operator Tacting on a separable F-space Xis called hypercyclic if there exists f ∈ X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-commutes with the operator of differentiation on the space of entire functions is hypercyclic, extending results by G. Godefroy and J. H. Shapiro and R. M. Aron and D. Markose.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-04-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/32433
url https://hdl.handle.net/10902/32433
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Journal of Functional Analysis, 2022, 282(8), 109391
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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