Generalized Hyperbolicity, Stability and Expansivity for Operators on
Locally Convex Spaces
Generalized Hyperbolicity, Stability and Expansivity for Operators on
Locally Convex Spaces
We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that every generalized hyperbolic operator on a locally convex space has the finite shadowing property. Contrary to what happens in the Banach space setting, hyperbolic operators on …