Albanese, AA.; Barrachina Civera, X.; Mangino, EM.; Peris Manguillot, A. (2013). Distributional chaos for strongly continuous semigroups of operators. Communications on Pure and Applied Analysis. 12(5):2069-2082. https://doi.org/10.3934/cpaa.2013.12.2069
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/43609
Title:
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Distributional chaos for strongly continuous semigroups of operators
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Author:
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Albanese, Angela A.
Barrachina Civera, Xavier
Mangino, Elisabetta Maria
Peris Manguillot, Alfredo
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional ...[+]
Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional chaos on the point spectrum of the generator of the semigroup is presented. An application to the semigroup generated in L-2 (R) by a translation of the Ornstein-Uhlenbeck operator is also given.
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Subjects:
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Distributional chaos
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C-0-semigroups
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Irregular vectors
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Hypercyclic operators
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Criterion for distributional chaos
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Copyrigths:
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Cerrado |
Source:
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Communications on Pure and Applied Analysis. (issn:
1534-0392
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DOI:
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10.3934/cpaa.2013.12.2069
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Publisher:
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American Institute of Mathematical Sciences (AIMS)
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Publisher version:
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http://dx.doi.org/10.3934/cpaa.2013.12.2069
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
...[+]
info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/GVA//GV%2F2010%2F091/
info:eu-repo/grantAgreement/UPV//PAID-06-0-92932/
info:eu-repo/grantAgreement/UPV//FPI-UPV2009-04/
info:eu-repo/grantAgreement/UPV//PAID-00-10/
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Thanks:
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This work is supported in part by MEC and FEDER, Project MTM2010-14909, by Generalitat Valenciana, Projects PROMETEO/2008/101 and GV/2010/091, and by Universitat Politecnica de Valencia, Project PAID-06-0-92932. The second ...[+]
This work is supported in part by MEC and FEDER, Project MTM2010-14909, by Generalitat Valenciana, Projects PROMETEO/2008/101 and GV/2010/091, and by Universitat Politecnica de Valencia, Project PAID-06-0-92932. The second author also wants to acknowledge the support of the Project PAID-00-10 and of the grant FPI-UPV2009-04 from Programa de Ayudas de Investigacion y Desarrollo de la Universitat Politecnica de Valencia.
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Type:
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Artículo
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