Galán, VJ.; Martínez Jiménez, F.; Oprocha, P.; Peris Manguillot, A. (2015). Product Recurrence for Weighted Backward Shifts. Applied Mathematics & Information Sciences. 9(5):2361-2365. https://doi.org/10.12785/amis/090518
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/65153
Title:
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Product Recurrence for Weighted Backward Shifts
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Author:
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Galán, Victor José
Martínez Jiménez, Félix
Oprocha, Piotr
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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[EN] We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an ...[+]
[EN] We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an example of weighted shift that admits points which are recurrent and distal, but not product recurrent, in contrast with the dynamics on compact sets. An example of a product recurrent point with unbounded orbit is also provided.
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Subjects:
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Product recurrence
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Backward shifts
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Transitivity
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Chaos
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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 & Information Sciences. (issn:
1935-0090
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DOI:
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10.12785/amis/090518
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Publisher:
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Natural Sciences Publishing
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Publisher version:
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http://dx.doi.org/10.12785/amis/090518
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Project ID:
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info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/
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Description:
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This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Applied Mathematics & Information Sciences following peer review. The definitive publisher-authenticated version is available online at: http://www.naturalspublishing.com/ContIss.asp?IssID=293
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Thanks:
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This work is supported in part by MICINN and FEDER, Project MTM2013-47093-P, and by GVA, Project PROMETEOII/2013/013. We thank the referee whose report produced an improvement in the presentation of the paper.
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Type:
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Artículo
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