Common hypercyclic vectors for families of operators

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dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorPartington, Jonathan R.
dc.date.accessioned2023-06-20T10:34:26Z
dc.date.available2023-06-20T10:34:26Z
dc.date.issued2008
dc.description.abstractWe provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino. As an application, we get common hypercyclic vectors for a particular family of hypercyclic scalar multiples of the adjoint of a multiplier in the Hardy space, generalizing recent results by Abakumov and Gordon and also Bayart. The criterion is applied to other specific families of operators.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipPlan Nacional I+D
dc.description.sponsorshipGobierno de Aragon research group Analisis Matematico y Aplicaciones
dc.description.sponsorshipLondon Mathematical Society
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21064
dc.identifier.doi10.1090/S0002-9939-07-09053-3
dc.identifier.issn0002-9939
dc.identifier.officialurlhttps//doi.org/10.1090/S0002-9939-07-09053-3
dc.identifier.relatedurlhttp://www.ams.org/journals/proc/2008-136-01/S0002-9939-07-09053-3/S0002-9939-07-09053-3.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50598
dc.issue.number1
dc.journal.titleProceedings of the American Mathematical Society
dc.language.isoeng
dc.page.final126
dc.page.initial119
dc.publisherAmerican Mathematical Society
dc.relation.projectIDMTM2006-06431
dc.relation.projectIDDGA E-64
dc.relation.projectIDScheme 4 grant
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordUnimodular point spectrum
dc.subject.keywordInvariant
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleCommon hypercyclic vectors for families of operatorsen
dc.typejournal article
dc.volume.number136
dspace.entity.typePublication
relation.isAuthorOfPublicationf56f1f11-4b62-4a87-80df-8dc195da1201
relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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