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Recurrence properties of hypercyclic operators

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Recurrence properties of hypercyclic operators

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dc.contributor.author Bès, Juan Pablo es_ES
dc.contributor.author Menet, Quentin es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.contributor.author Puig-De Dios, Yunied es_ES
dc.date.accessioned 2018-03-26T06:28:23Z
dc.date.available 2018-03-26T06:28:23Z
dc.date.issued 2016 es_ES
dc.identifier.issn 0025-5831 es_ES
dc.identifier.uri http://hdl.handle.net/10251/99749
dc.description.abstract [EN] We generalize the notions of hypercyclic operators, U-frequently hypercyclic operators and frequently hypercyclic operators by introducing a new concept in linear dynamics, namely A-hypercyclicity. We then state an A-hypercyclicity criterion, inspired by the hypercyclicity criterion and the frequent hypercyclicity criterion, and we show that this criterion characterizes the A-hypercyclicity for weighted shifts. We also investigate which density properties can the sets N(x, U) = {n is an element of N; T-n x is an element of U} have for a given hypercyclic operator, and we study the new notion of reiteratively hypercyclic operators. es_ES
dc.description.sponsorship This work is supported in part by MEC and FEDER, Project MTM2013-47093-P, and by GVA, Projects PROMETEOII/2013/013 and ACOMP/2015/005. The second author was a postdoctoral researcher of the Belgian FNRS. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mathematische Annalen es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hypercyclic operators es_ES
dc.subject Recurrence es_ES
dc.subject Chaos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Recurrence properties of hypercyclic operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00208-015-1336-3 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F005/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Bès, JP.; Menet, Q.; Peris Manguillot, A.; Puig-De Dios, Y. (2016). Recurrence properties of hypercyclic operators. Mathematische Annalen. 366(1):545-572. https://doi.org/10.1007/s00208-015-1336-3 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s00208-015-1336-3 es_ES
dc.description.upvformatpinicio 545 es_ES
dc.description.upvformatpfin 572 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 366 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\334179 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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