Bès, JP.; Menet, Q.; Peris Manguillot, A.; Puig-De Dios, Y. (2019). Strong transitivity properties for operators. Journal of Differential Equations. 266(2-3):1313-1337. https://doi.org/10.1016/j.jde.2018.07.076
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/155503
Title:
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Strong transitivity properties for operators
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Author:
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Bès, Juan Pablo
Menet, Quentin
Peris Manguillot, Alfredo
Puig-De Dios, Yunied
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
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Issued date:
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Abstract:
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[EN] Given a Furstenberg family F of subsets of N, an operator T on a topological vector space X is called F-transitive provided for each non-empty open subsets U, V of X the set {n is an element of Z(+) : T-n (U) boolean ...[+]
[EN] Given a Furstenberg family F of subsets of N, an operator T on a topological vector space X is called F-transitive provided for each non-empty open subsets U, V of X the set {n is an element of Z(+) : T-n (U) boolean AND V not equal empty set} belongs to We classify the topologically transitive operators with a hierarchy of F-transitive subclasses by considering families F that are determined by various notions of largeness and density in Z(+). (C) 2018 Elsevier Inc. All rights reserved.
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Subjects:
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Hypercyclic operators
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Furstenberg families
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Transitivity properties
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Mixing properties
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Journal of Differential Equations. (issn:
0022-0396
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DOI:
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10.1016/j.jde.2018.07.076
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Publisher:
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Elsevier
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Publisher version:
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https://doi.org/10.1016/j.jde.2018.07.076
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Project ID:
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info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/
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Thanks:
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The first, the second, and the third authors were partially supported by MINECO, Project MTM2016-75963-P. The third author was also supported by Generalitat Valenciana, Project PROMETEO/2017/102. We want to thank the referee ...[+]
The first, the second, and the third authors were partially supported by MINECO, Project MTM2016-75963-P. The third author was also supported by Generalitat Valenciana, Project PROMETEO/2017/102. We want to thank the referee whose careful comments produced an improvement in the presentation of the paper.
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Type:
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Artículo
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