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A note on frequent hypercyclicity of operators that λ -commute with the differentiation operator

dc.contributor.authorLeón Saavedra, Fernando 
dc.contributor.authorRomero de la Rosa, María Pilar 
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2022-12-15T10:44:27Z
dc.date.available2022-12-15T10:44:27Z
dc.date.issued2022
dc.identifier.issn1573-8795
dc.identifier.urihttp://hdl.handle.net/10498/27614
dc.description.abstractA continuous linear operator on a Fréchet space X is frequently hypercyclic if there exists a vector x such that for any nonempty open subset U⊂ X the set of n∈ N∪ { 0 } for which Tnx∈ U has a positive lower density. Here we determine when an operator that commutes up to a factor with the differentiation operator D, defined on the space of entire functions, is frequently hypercyclic.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherSPRINGERes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceJournal of Mathematical Sciences (United States)es_ES
dc.subjectSpace of entire functionses_ES
dc.subjectDifferentiation operatores_ES
dc.subjectExtended eigenoperatorses_ES
dc.subjectFrequently hypercyclic operatorses_ES
dc.titleA note on frequent hypercyclicity of operators that λ -commute with the differentiation operatores_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s10958-022-05989-4
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


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Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional