Bonet Solves, JA.; Kalmes, T.; Peris Manguillot, A. (2021). Dynamics of shift operators on non-metrizable sequence spaces. Revista Matemática Iberoamericana. 37(6):2373-2397. https://doi.org/10.4171/rmi/1267
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/189534
Título:
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Dynamics of shift operators on non-metrizable sequence spaces
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Autor:
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Bonet Solves, José Antonio
Kalmes, Thomas
Peris Manguillot, Alfredo
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Entidad UPV:
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Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura
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Fecha difusión:
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Resumen:
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[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclicity, and chaos for backward shift operators associated to a Schauder basis on LF-spaces. As an application, we characterize ...[+]
[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclicity, and chaos for backward shift operators associated to a Schauder basis on LF-spaces. As an application, we characterize these dynamical properties for weighted generalized backward shifts on Kothe coechelon sequence spaces k(p)((v((m)))(m is an element of N)) in terms of the defining sequence of weights (v((m)))(m) (is an element of N). We further discuss several examples and show that the annihilation operator from quantum mechanics is mixing, sequentially hypercyclic, chaotic, and topologically ergodic on S'(R).
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Palabras clave:
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Hypercyclic operator
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Topologically mixing operator
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Chaotic operator
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Topologically ergodic operator
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Kothe coechelon space
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Backward shift
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Derechos de uso:
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Reserva de todos los derechos
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Fuente:
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Revista Matemática Iberoamericana. (issn:
0213-2230
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DOI:
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10.4171/rmi/1267
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Editorial:
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European Mathematical Society Publishing House
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Versión del editor:
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https://doi.org/10.4171/rmi/1267
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Código del Proyecto:
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info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/AGENCIA ESTATAL DE INVESTIGACION//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/
info:eu-repo/grantAgreement/AEI//MTM2016-75963-P//DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2017%2F102//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES./
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Agradecimientos:
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The first author was partially supported by MICINN and FEDER, Proj. MTM2016-76647-P, and by Generalitat Valenciana, Project PROMETEO/2017/102. The research of the third author was partially supported by MICINN and FEDER, ...[+]
The first author was partially supported by MICINN and FEDER, Proj. MTM2016-76647-P, and by Generalitat Valenciana, Project PROMETEO/2017/102. The research of the third author was partially supported by MICINN and FEDER, Projects MTM2016-75963-P and PID2019105011GB-I00, and by Generalitat Valenciana, Project PROMETEO/2017/102.
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Tipo:
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Artículo
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