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math.DS2024
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 si…
math.DS2024
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…
math.DS2024
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…