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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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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

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Título: Distributional chaos for operators with full scrambled sets
Autor: Martínez Jiménez, Félix Oprocha, Piotr Peris Manguillot, Alfredo
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
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, ...[+]
Palabras clave: Distributional chaos , Hypercyclic operators , Irregular vectors
Derechos de uso: Reserva de todos los derechos
Fuente:
Mathematische Zeitschrift. (issn: 0025-5874 ) (eissn: 1432-1823 )
DOI: 10.1007/s00209-012-1087-8
Editorial:
Springer Verlag (Germany)
Versión del editor: http://dx.doi.org/10.1007/s00209-012-1087-8
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
info:eu-repo/grantAgreement/EC/FP7/272297/EU/Topological aspects of dynamical independence and chaos/
info:eu-repo/grantAgreement/EC/Marie Curie European Reintegration Grants (ERG)/PERG08-GA-2010-272297/EU/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
Agradecimientos:
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 ...[+]
Tipo: Artículo

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