Bartoll Arnau, S.; Jiménez-Munguía, RR.; Martínez-Avendaño, RA.; Peris Manguillot, A. (2022). Chaos for the Dynamics of Toeplitz Operators. Mathematics. 10(3):1-14. https://doi.org/10.3390/math10030425
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/194471
Title:
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Chaos for the Dynamics of Toeplitz Operators
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Author:
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Bartoll Arnau, Salud
Jiménez-Munguía, Ronald Richard
Martínez-Avendaño, Rubén Alejandro
Peris Manguillot, Alfredo
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UPV Unit:
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Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura
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Issued date:
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Abstract:
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[EN] Chaotic properties in the dynamics of Toeplitz operators on the Hardy-Hilbert space H-2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos ...[+]
[EN] Chaotic properties in the dynamics of Toeplitz operators on the Hardy-Hilbert space H-2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos formulated in terms of the coefficients of the symbol for the tridiagonal case are obtained. In addition, easily computable sufficient conditions that depend on the coefficients are found for the chaotic behavior of certain Toeplitz operators.
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Subjects:
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Toeplitz operators
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Chaos
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Hypercyclic operators
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Copyrigths:
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Reconocimiento (by)
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Source:
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Mathematics. (eissn:
2227-7390
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DOI:
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10.3390/math10030425
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Publisher:
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MDPI AG
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Publisher version:
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https://doi.org/10.3390/math10030425
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Coste APC:
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1015 €
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Project ID:
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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/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/
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Thanks:
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The first and fourth authors were supported by MCIN/AEI/10.13039/501100011033, Project PID2019-105011GB-I00. The third author's research is partially supported by the Asociacion Mexicana de Cultura A.C. The fourth author ...[+]
The first and fourth authors were supported by MCIN/AEI/10.13039/501100011033, Project PID2019-105011GB-I00. The third author's research is partially supported by the Asociacion Mexicana de Cultura A.C. The fourth author was also supported by Generalitat Valenciana, Project PROMETEU/2021/070.
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Type:
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Artículo
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