4 papers
Observation Schemes and Irregularity in Linear Dynamics
Manuel Saavedra
We develop a structural framework for irregularity in linear dynamics centered on the space of observation schemes. This approach separates the underlying dynamical behavior fr…
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…
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…
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.…