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Distributional chaos for operators with full scrambled sets

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Distributional chaos for operators with full scrambled sets

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dc.contributor.author Martínez Jiménez, Félix es_ES
dc.contributor.author Oprocha, Piotr es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.date.accessioned 2014-10-27T10:32:26Z
dc.date.available 2014-10-27T10:32:26Z
dc.date.issued 2013-06
dc.identifier.issn 0025-5874
dc.identifier.uri http://hdl.handle.net/10251/43593
dc.description.abstract In this article we answer in the negative the question of whether hypercyclicity is sufficient for distributional chaos for a continuous linear operator (we even prove that the mixing property does not suffice). Moreover, we show that an extremal situation is possible: There are (hypercyclic and non-hypercyclic) operators such that the whole space consists, except zero, of distributionally irregular vectors. es_ES
dc.description.sponsorship The research of first and third author was supported by MEC and FEDER, project MTM2010-14909 and by GV, Project PROMETEO/2008/101. The research of second author was supported by the Marie Curie European Reintegration Grant of the European Commission under grant agreement no. PERG08-GA-2010-272297. The financial support of these institutions is hereby gratefully acknowledged. We also want to thank X. Barrachina for pointing out to us a gap in the proof of a previous version of Theorem 3.1. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Mathematische Zeitschrift es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Distributional chaos es_ES
dc.subject Hypercyclic operators es_ES
dc.subject Irregular vectors es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Distributional chaos for operators with full scrambled sets es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00209-012-1087-8
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/272297/EU/Topological aspects of dynamical independence and chaos/ en_EN
dc.relation.projectID info:eu-repo/grantAgreement/EC/Marie Curie European Reintegration Grants (ERG)/PERG08-GA-2010-272297/EU/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/ es_ES
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 Martínez Jiménez, F.; Oprocha, P.; Peris Manguillot, A. (2013). Distributional chaos for operators with full scrambled sets. Mathematische Zeitschrift. 274(1-2):603-612. https://doi.org/10.1007/s00209-012-1087-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00209-012-1087-8 es_ES
dc.description.upvformatpinicio 603 es_ES
dc.description.upvformatpfin 612 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 274 es_ES
dc.description.issue 1-2 es_ES
dc.relation.senia 245663
dc.identifier.eissn 1432-1823
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Generalitat Valenciana es_ES
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