[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 ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2012-01-10)
Los operadores desplazamiento a izquierda proporcionan una clase de sistemas dinámicos en espacios infinito dimensionales. En esta memoria se da una caracterización de la hiperciclicidad y del caos, en el sentido de Devaney, ...
[EN] We study a version of the specification property for linear dynamics. Operators having the specification property are investigated, and relationships with other well known dynamical notions such as mixing, Devaney ...
Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(MDPI AG, 2022-12-15)
[EN] Let X be a compact metric space and a continuous map f:X-->X which defines a discrete dynamical system (X,f). The map f induces two natural maps, namely \bar{f}:K(X)-->K(X) on the hyperspace K(X) of non-empty compact ...
We characterize when backward shift operators defined on Banach sequence spaces exhibit the strong specification property. In particular, within this framework, the specification property is equivalent to the notion of ...
Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2019-06)
[EN] We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2016-03-10)
[EN] The dynamics of linear operators, namely linear dynamics, is mainly concerned with the behaviour of iterates of linear transformations. Hypercyclicity is the study of linear operators that possess a dense orbit. ...