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math.FA2026
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…
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…