dc.creator | Bernal González, Luis | es |
dc.date.accessioned | 2019-06-19T08:56:53Z | |
dc.date.available | 2019-06-19T08:56:53Z | |
dc.date.issued | 2006-07 | |
dc.identifier.citation | Bernal González, L. (2006). Hypercyclic subspaces in Fréchet spaces. Proceedings of the American Mathematical Society, 134 (7), 1955-1961. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87517 | |
dc.description.abstract | In this note, we show that every infinite-dimensional separable Fr´echet space
admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of hypercyclic vectors.
The family of such operators is even dense in the space of bounded operators when endowed with the strong operator topology. This completes earlier work of several authors. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior (DGES). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 134 (7), 1955-1961. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hypercyclic operator | es |
dc.subject | Hypercyclic sequence | es |
dc.subject | Hypercyclic subspace | es |
dc.subject | Backward shift | es |
dc.subject | Fréchet space | es |
dc.title | Hypercyclic subspaces in Fréchet spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | BFM2003-03893-C02-01 | es |
dc.relation.publisherversion | http://www.ams.org/journals/proc/2006-134-07/S0002-9939-05-08242-0/S0002-9939-05-08242-0.pdf | es |
dc.identifier.doi | 10.1090/S0002-9939-05-08242-0 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 11 p. | es |
dc.journaltitle | Proceedings of the American Mathematical Society | es |
dc.publication.volumen | 134 | es |
dc.publication.issue | 7 | es |
dc.publication.initialPage | 1955 | es |
dc.publication.endPage | 1961 | es |