3 papers
math.DS2026
On Generalized Hyperbolicity, Stability, and Shadowing for Linear Operators
Ali Messaoudi, José Tofanin Neto, Manuel Saavedra +1
This work studies the relations between shadowing, topological stability, Lipschitz structural stability, and pseudo-hyperbolicity for linear dynamical systems on Banach spaces. Th…
math.FA2025
On Spaceability within Linear Dynamics
Manuel Saavedra, Manuel Stadlbauer
We investigate spaceability phenomena in linear dynamics from a structural perspective. Given a continuous linear operator \(T:X \to X\), we introduce the set \(Ω(T)\), consisting…
math.FA2025
Super-Shadowing and Supercyclicity
Eric Cabezas, Manuel Saavedra
We introduce the super-shadowing property in linear dynamics, where pseudotrajectories are approximated by sequences of the form , with being complex scalars…