dc.creator | Bernal González, Luis | es |
dc.creator | Grosse-Erdmann, Karl-Goswin | es |
dc.date.accessioned | 2019-06-19T09:02:38Z | |
dc.date.available | 2019-06-19T09:02:38Z | |
dc.date.issued | 2007-03 | |
dc.identifier.citation | Bernal González, L. y Grosse-Erdmann, K. (2007). Existence and nonexistence of hypercyclic semigroups. Proceedings of the American Mathematical Society, 135 (3), 755-766. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87518 | |
dc.description.abstract | In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter
than– the one recently given by Bermúdez, Bonilla and Martinón. We also show the existence of a strongly dense family of topologically mixing operators on every separable infinite-dimensional Fréchet space. This complements recent results due to Bès and Chan. Moreover, we discuss the Hypercyclicity Criterion for semigroups and we give an example of a separable infinite-dimensional locally convex space which supports no supercyclic strongly continuous semigroup of operators. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología (MCYT). 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, 135 (3), 755-766. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hypercyclic uniformly continuous semigroup of operators | es |
dc.subject | Topologically mixing semigroup | es |
dc.subject | Hypercyclicity criterion | es |
dc.subject | Supercyclic semigroup | es |
dc.title | Existence and nonexistence of hypercyclic semigroups | 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/2007-135-03/S0002-9939-06-08524-8/S0002-9939-06-08524-8.pdf | es |
dc.identifier.doi | 10.1090/S0002-9939-06-08524-8 | 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 | 135 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 755 | es |
dc.publication.endPage | 766 | es |