Chaos for the Dynamics of Toeplitz Operators

[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 ca...

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Hauptverfasser:	Bartoll Arnau, Salud, Jiménez-Munguía, Ronald Richard, Martínez-Avendaño, Rubén Alejandro, Peris Manguillot, Alfredo
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos Hypercyclic operators MATEMATICA APLICADA Toeplitz operators
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Zusammenfassung:	[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. 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. 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