Murillo Arcila, M.; Peris Manguillot, A. (2013). Mixing properties for nonautonomous linear dynamics and invariant sets. Applied Mathematics Letters. 26(2):215-218. https://doi.org/10.1016/j.aml.2012.08.014
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/37844
Title:
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Mixing properties for nonautonomous linear dynamics and invariant sets
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Author:
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Murillo Arcila, Marina
Peris Manguillot, Alfredo
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UPV Unit:
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Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
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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We study mixing properties (topological mixing and weak mixing of arbitrary order) for nonautonomous linear dynamical systems that are induced by the corresponding dynamics on certain invariant sets. The kinds of nonautonomous ...[+]
We study mixing properties (topological mixing and weak mixing of arbitrary order) for nonautonomous linear dynamical systems that are induced by the corresponding dynamics on certain invariant sets. The kinds of nonautonomous systems considered here can be defined using a sequence of linear operators on a topological vector space X such that there is an invariant set Y for which the dynamics restricted to Y satisfies a certain mixing property. We then obtain the corresponding mixing property on the closed linear span of Y. We also prove that the class of nonautonomous linear dynamical systems that are weakly mixing of order nn contains strictly the corresponding class with the weak mixing property of order n+1.
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Subjects:
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Nonautonomous discrete systems
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Linear dynamics
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Mixing properties
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Hypercyclic operators
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Applied Mathematics Letters. (issn:
0893-9659
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DOI:
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10.1016/j.aml.2012.08.014
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.aml.2012.08.014
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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/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
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Thanks:
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This work was supported in part by MEC and FEDER, Project MTM2010-14909, and by GV, Project PROMETEO/2008/101. The first author was also supported by a grant from the FPU Program of MEC. We thank the referees whose reports ...[+]
This work was supported in part by MEC and FEDER, Project MTM2010-14909, and by GV, Project PROMETEO/2008/101. The first author was also supported by a grant from the FPU Program of MEC. We thank the referees whose reports led to an improvement in the presentation of this work.
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Type:
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Artículo
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