Common hypercyclic vectors for families of operators
| dc.contributor.author | Gallardo Gutiérrez, Eva Antonia | |
| dc.contributor.author | Partington, Jonathan R. | |
| dc.date.accessioned | 2023-06-20T10:34:26Z | |
| dc.date.available | 2023-06-20T10:34:26Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | We 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.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Plan Nacional I+D | |
| dc.description.sponsorship | Gobierno de Aragon research group Analisis Matematico y Aplicaciones | |
| dc.description.sponsorship | London Mathematical Society | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21064 | |
| dc.identifier.doi | 10.1090/S0002-9939-07-09053-3 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.officialurl | https//doi.org/10.1090/S0002-9939-07-09053-3 | |
| dc.identifier.relatedurl | http://www.ams.org/journals/proc/2008-136-01/S0002-9939-07-09053-3/S0002-9939-07-09053-3.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50598 | |
| dc.issue.number | 1 | |
| dc.journal.title | Proceedings of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 126 | |
| dc.page.initial | 119 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | MTM2006-06431 | |
| dc.relation.projectID | DGA E-64 | |
| dc.relation.projectID | Scheme 4 grant | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Unimodular point spectrum | |
| dc.subject.keyword | Invariant | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Common hypercyclic vectors for families of operators | en |
| dc.type | journal article | |
| dc.volume.number | 136 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f56f1f11-4b62-4a87-80df-8dc195da1201 | |
| relation.isAuthorOfPublication.latestForDiscovery | f56f1f11-4b62-4a87-80df-8dc195da1201 |
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