Chaos for the Dynamics of Toeplitz Operators

• Published in: Mathematics (Basel) Vol. 10; no. 3; p. 425
• Main Authors: Bartoll, Salud, Jiménez-Munguía, Ronald Richard, Martínez-Avendaño, Rubén Alejandro, Peris, Alfred
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.02.2022
• Subjects: chaos; Chaos theory; Eigenvalues; Hilbert space; hypercyclic operators; Operators; Toeplitz operators

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...