Chaos for the Dynamics of Toeplitz Operators Academic Article in Scopus uri icon

abstract

  • © 2022 by the authors. Licensee MDPI, Basel, Switzerland.Chaotic properties in the dynamics of Toeplitz operators on the Hardy¿Hilbert space H2 (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.

publication date

  • February 1, 2022