Chaos for the Dynamics of Toeplitz Operators

Salud Bartoll, Ronald Richard Jiménez-Munguía, Rubén Alejandro Martínez-Avendaño and Alfred Peris
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Salud Bartoll: Departament de Matemàtica Aplicada, Universitat Politècnica de València, E.T.S. Arquitectura, 46022 València, Spain
Ronald Richard Jiménez-Munguía: Instituto Tecnológico y de Estudios Superiores de Monterrey Campus Hidalgo, Pachuca de Soto 42080, Mexico
Rubén Alejandro Martínez-Avendaño: Instituto Tecnológico Autónomo de México Campus Rio Hondo, Ciudad de México 01080, Mexico
Alfred Peris: Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, E.T.S. Arquitectura, 46022 València, Spain

Mathematics, 2022, vol. 10, issue 3, 1-14

Abstract: 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.

Keywords: Toeplitz operators; chaos; hypercyclic operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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