6 papers · 1 filter
The specification property for composition operators
Nilson C. Bernardes, Emma D'Aniello, Martina Maiuriello
It is known that the operator specification property does not coincide, in general, with other notions of chaos in linear dynamics. In this paper, we show that, for a natural and w…
On the Dynamics of Weighted Composition Operators II
Nilson C. Bernardes, Antonio Bonilla, João V. A. Pinto
We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous function…
On the Stability of Generalized Hyperbolic Operators
Nilson C. Bernardes
Our main goal is to prove that every invertible generalized hyperbolic operator on a Banach space has a stability property, known as time-dependent stability, which was introduced…
On the Dynamics of Weighted Composition Operators
Nilson C. Bernardes, Antonio Bonilla, João V. A. Pinto
We study the properties of power-boundedness, Li-Yorke chaos, distributional chaos, absolutely Cesà ro boundedness and mean Li-Yorke chaos for weighted composition operators on $L^…
Li-Yorke Chaotic Weighted Composition Operators
Nilson C. Bernardes, Fernanda M. Vasconcellos
We establish complete characterizations of the notion of Li-Yorke chaos for weighted composition operators on spaces and on spaces. As a consequence, we obtain s…
Generalized Hyperbolicity, Stability and Expansivity for Operators on Locally Convex Spaces
Nilson C. Bernardes, Blas M. Caraballo, Udayan B. Darji +2
We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that…