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Distributional chaos for linear operators

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Distributional chaos for linear operators

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dc.contributor.author Bernardes, Nilson C. es_ES
dc.contributor.author Bonilla, Antonio es_ES
dc.contributor.author Müller, Vladimír es_ES
dc.contributor.author Peris Manguillot, Alfredo
dc.date.accessioned 2014-10-10T09:30:20Z
dc.date.available 2014-10-10T09:30:20Z
dc.date.issued 2013-11
dc.identifier.issn 0022-1236
dc.identifier.uri http://hdl.handle.net/10251/43115
dc.description.abstract We characterize distributional chaos for linear operators on Fréchet spaces in terms of a computable condition (DCC), and also as the existence of distributionally irregular vectors. A sufficient condition for the existence of dense uniformly distributionally irregular manifolds is presented, which is very general and can be applied to many classes of operators. Distributional chaos is also analyzed in connection with frequent hypercyclicity, and the particular cases of weighted shifts and composition operators are given as an illustration of the previous results. © 2013 Elsevier Inc. es_ES
dc.description.sponsorship The fourth author was supported in part by MEC and FEDER, Project MTM2010-14909. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Functional Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Distributional chaos es_ES
dc.subject Irregular vectors es_ES
dc.subject Chaotic operators es_ES
dc.subject Frequently hypercyclic operators es_ES
dc.subject Point spectrum es_ES
dc.subject Invariant es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Distributional chaos for linear operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jfa.2013.06.019
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Bernardes, NC.; Bonilla, A.; Müller, V.; Peris Manguillot, A. (2013). Distributional chaos for linear operators. Journal of Functional Analysis. 265(9):2143-2163. https://doi.org/10.1016/j.jfa.2013.06.019 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.jfa.2013.06.019 es_ES
dc.description.upvformatpinicio 2143 es_ES
dc.description.upvformatpfin 2163 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 265 es_ES
dc.description.issue 9 es_ES
dc.relation.senia 259510
dc.identifier.eissn 1096-0783
dc.contributor.funder European Regional Development Fund
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES


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