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

dc.contributor.authorBensaid, Ikram Fatima Zohra
dc.contributor.authorGonzález Ortiz, Manuel 
dc.contributor.authorLeón-Saavedra, Fernando
dc.contributor.authorRomero de la Rosa, María Pilar
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-03-22T17:51:01Z
dc.date.available2024-03-22T17:51:01Z
dc.date.issued2022-04
dc.identifier.issn0022-1236
dc.identifier.issn1096-0783
dc.identifier.otherMTM2016-76958es_ES
dc.identifier.otherPGC2018-101514-B-I00 ; PID2019- 103961GB-C22es_ES
dc.identifier.urihttps://hdl.handle.net/10902/32433
dc.description.abstractAn 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.es_ES
dc.description.sponsorshipThe 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.es_ES
dc.format.extent23 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rights© 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).es_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceJournal of Functional Analysis, 2022, 282(8), 109391es_ES
dc.subject.otherSpace of entire functionses_ES
dc.subject.otherDifferentiation operatores_ES
dc.subject.otherExtended eigenoperatorses_ES
dc.subject.otherHypercyclic operatorses_ES
dc.titleHypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functionses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jfa.2022.109391es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-103961GB-C22/ES/FAMILIAS ANALITICAS DE ESPACIOS DE BANACH Y OPERADORES/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101514-B-I00/ES/METODOS ANALITICOS EN SIMETRIAS, TEORIA DE CONTROL Y OPERADORES/es_ES
dc.identifier.DOI10.1016/j.jfa.2022.109391
dc.type.versionpublishedVersiones_ES


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© 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Excepto si se señala otra cosa, la licencia del ítem se describe como © 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).