Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(MDPI AG, 2021-11)
[EN] Given a continuous map f : X -> X on a metric space, it induces the maps f over bar :K(X) -> K(X), on the hyperspace of nonempty compact subspaces of X, and (f) over cap :F(X) -> F(X), on the space of normal fuzzy ...
Conejero Casares, José Alberto; Martínez Jiménez, Félix(Springer Verlag (Germany), 2011-09)
We give sufficient conditions for chaos of (differential) operators on Hilbert spaces of entire functions. To this aim we establish conditions on the coefficients of a polynomial P(z) such that P(B) is chaotic on the space ...
We characterize distributional chaos for linear operators on Fréchet spaces in terms of a computable condition (DCC), and also as the existence of distributionally irregular vectors. A sufficient condition for the existence ...
Conejero, J. Alberto; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2021-02-09)
[EN] We provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.
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 ...