The Volterra operator is not supercyclic
| dc.contributor.author | Gallardo Gutiérrez, Eva Antonia | |
| dc.contributor.author | Montes Rodríguez, Alfonso | |
| dc.date.accessioned | 2023-06-20T10:34:34Z | |
| dc.date.available | 2023-06-20T10:34:34Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | It is shown that the classical Volterra operator, which is cyclic, is not supercyclic on any of the spaces L-p[0, 1], 1 less than or equal to p < infinity. This solves a question posed by Hector Salas. This contrasts with the fact that the derivative operator, the left inverse of the Volterra operator, although unbounded, is hypercyclic on L-p[0, 1]. | 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 | Junta de Andalucía | |
| dc.description.sponsorship | Universidad de Cádiz | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21107 | |
| dc.identifier.citation | Gallardo Gutiérrez, E. A. & Montes Rodríguez, A. «The Volterra Operator Is Not Supercyclic». Integral Equations and Operator Theory, vol. 50, n.o 2, octubre de 2004, pp. 211-16. DOI.org (Crossref), https://doi.org/10.1007/s00020-003-1227-y. | |
| dc.identifier.doi | 10.1007/s00020-003-1227-y | |
| dc.identifier.issn | 0378-620X | |
| dc.identifier.officialurl | https//doi.org/10.1007/s00020-003-1227-y | |
| dc.identifier.relatedurl | http://link.springer.com/content/pdf/10.1007%2Fs00020-003-1227-y.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50611 | |
| dc.issue.number | 2 | |
| dc.journal.title | Integral Equations and Operator Theory | |
| dc.language.iso | eng | |
| dc.page.final | 216 | |
| dc.page.initial | 211 | |
| dc.publisher | Birkhauser Verlag | |
| dc.relation.projectID | BFM2000-0360 | |
| dc.relation.projectID | FQM- 260 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Orbits | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | The Volterra operator is not supercyclic | en |
| dc.type | journal article | |
| dc.volume.number | 50 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f56f1f11-4b62-4a87-80df-8dc195da1201 | |
| relation.isAuthorOfPublication.latestForDiscovery | f56f1f11-4b62-4a87-80df-8dc195da1201 |
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