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Chaotic Behaviour on Invariant Sets of Linear Operators

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Chaotic Behaviour on Invariant Sets of Linear Operators

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dc.contributor.author Murillo Arcila, Marina es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.date.accessioned 2016-10-20T14:36:17Z
dc.date.available 2016-10-20T14:36:17Z
dc.date.issued 2015
dc.identifier.issn 0378-620X
dc.identifier.uri http://hdl.handle.net/10251/72432
dc.description.abstract We study hypercyclicity, Devaney chaos, topological mixing properties and strong mixing in the measure-theoretic sense for operators on topological vector spaces with invariant sets. More precisely, our purpose is to establish links between the fact of satisfying any of our dynamical properties on certain invariant sets, and the corresponding property on the closed linear span of the invariant set, or on the union of the invariant sets. Viceversa, we give conditions on the operator (or C0-semigroup) to ensure that, when restricted to the invariant set, it satisfies certain dynamical property. Particular attention is given to the case of positive operators and semigroups on lattices, and the (invariant) positive cone. We also present examples that illustrate these results. es_ES
dc.description.sponsorship This work is supported in part by MICINN and FEDER, Projects MTM2010-14909 and MTM2013-47093-P, and by GVA, Project PROMETEOII/2013/013. The first author is supported by a Grant from the FPU Program of MEC. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Integral Equations and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hypercyclic operators es_ES
dc.subject Invariant sets es_ES
dc.subject Topological mixing es_ES
dc.subject Devaney chaos es_ES
dc.subject Mixing measures es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Chaotic Behaviour on Invariant Sets of Linear Operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-014-2188-z
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura es_ES
dc.description.bibliographicCitation Murillo Arcila, M.; Peris Manguillot, A. (2015). Chaotic Behaviour on Invariant Sets of Linear Operators. Integral Equations and Operator Theory. 81(4):483-497. https://doi.org/10.1007/s00020-014-2188-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00020-014-2188-z es_ES
dc.description.upvformatpinicio 483 es_ES
dc.description.upvformatpfin 497 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 81 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 310445 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad
dc.contributor.funder European Regional Development Fund
dc.contributor.funder Ministerio de Educación, Cultura y Deporte
dc.contributor.funder Generalitat Valenciana
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