Set-Valued Chaos in Linear Dynamics

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dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationEscuela Técnica Superior de Arquitectura
dc.contributor.affiliationInstituto Universitario de Matemática Pura y Aplicada
dc.contributor.authorBernardes, N. C. Jr.es_ES
dc.contributor.authorPeris Manguillot, Alfredo
dc.contributor.authorRódenas Escribá, Francisco De Asís
dc.contributor.funderGeneralitat Valencianaes_ES
dc.contributor.funderMinisterio de Economía y Competitividades_ES
dc.date.accessioned2018-09-17T08:53:36Z
dc.date.available2018-09-17T08:53:36Z
dc.date.issued2017es_ES
dc.description.abstract[EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace extensions and of T to the spaces of compact subsets of X and of convex compact subsets of X, respectively, endowed with the Vietoris topology. We show that, when X is a complete locally convex space (respectively, a locally convex space), then Devaney chaos (respectively, topological ergodicity) is equivalent for the maps T, and . Also, under very general conditions, we obtain analogous equivalences for Li-Yorke chaos. Finally, some remarks concerning the topological transitivity and weak mixing properties are included, extending results in Banks (Chaos Solitons Fractals 25(3):681-685, 2005) and Peris (Chaos Solitons Fractals 26(1):19-23, 2005).en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBernardes, NCJ.; Peris Manguillot, A.; Ródenas Escribá, FDA. (2017). Set-Valued Chaos in Linear Dynamics. Integral Equations and Operator Theory. 88(4):451-463. https://doi.org/10.1007/s00020-017-2394-6es_ES
dc.description.issue4es_ES
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dc.description.sponsorshipThe first author was partially supported by CNPq (Brazil) and by the EBW+ Project (Erasmus Mundus Programme). The second and third authors were supported by MINECO, Projects MTM2013-47093-P and MTM2016-75963-P. The second author was partially supported by GVA, Project PROMETEOII/2013/013.es_ES
dc.description.upvformatpfin463es_ES
dc.description.upvformatpinicio451es_ES
dc.description.volume88es_ES
dc.identifier.doi10.1007/s00020-017-2394-6es_ES
dc.identifier.issn0378-620Xes_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/107461
dc.languageIngléses_ES
dc.publisherSpringer-Verlages_ES
dc.relation.ispartofIntegral Equations and Operator Theoryes_ES
dc.relation.pasarelaS\360101es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/es_ES
dc.relation.publisherversionhttp://doi.org/10.1007/s00020-017-2394-6es_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectHyperspace dynamicses_ES
dc.subjectLinear dynamicses_ES
dc.subjectDevaney chaoses_ES
dc.subjectLi-Yorke chaoses_ES
dc.subjectMixing propertieses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleSet-Valued Chaos in Linear Dynamicses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
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