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Hypercyclicity of operators that λ-commute with the hardy backward shift

dc.contributor.authorAmouch, Mohamed
dc.contributor.authorLeón Saavedra, Fernando 
dc.contributor.authorRomero de la Rosa, María Pilar 
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2024-03-13T13:48:34Z
dc.date.available2024-03-13T13:48:34Z
dc.date.issued2024-01-22
dc.identifier.issn1072-3374
dc.identifier.urihttp://hdl.handle.net/10498/31384
dc.description.abstractAn operator T acting on a separable complex Banach space B is said to be hypercyclic if there exists f ∈ B such that the orbit {Tnf ∶ n ∈ ℕ} is dense in B. Godefroy and Shapiro (J. Funct. Anal., 98(2):229–269, 1991) characterized those elements, which are hypercyclic, in the commutant of the Hardy backward shift. In this paper, we study some dynamical properties of operators X that 휆-commute with the Hardy backward shift B, that is, BX = 휆XB.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 Scienceses_ES
dc.subjectSpace of entire functionses_ES
dc.subjectShift operatores_ES
dc.subjectExtended eigenoperatorses_ES
dc.subjectHypercyclic operatorses_ES
dc.titleHypercyclicity of operators that λ-commute with the hardy backward shiftes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.description.physDesc17 páginases_ES
dc.identifier.doi10.1007/s10958-023-06638-0
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-139449NB-I00es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Andalucía//ProyExcel00780es_ES
dc.type.hasVersionVoRes_ES


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This work is under a Creative Commons License Atribución 4.0 Internacional