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Chaos for the Dynamics of Toeplitz Operators

Author

Listed:
  • 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)

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.

Suggested Citation

  • Salud Bartoll & Ronald Richard Jiménez-Munguía & Rubén Alejandro Martínez-Avendaño & Alfred Peris, 2022. "Chaos for the Dynamics of Toeplitz Operators," Mathematics, MDPI, vol. 10(3), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:425-:d:737273
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    Citations

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    Cited by:

    1. Wei Chu & Yao Zhao & Hua Yuan, 2022. "A Novel Divisional Bisection Method for the Symmetric Tridiagonal Eigenvalue Problem," Mathematics, MDPI, vol. 10(15), pages 1-22, August.

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