4 papers · 1 filter
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 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.…
Quasi-rigid operators and hyper-recurrence
Manuel Saavedra, Manuel Stadlbauer
We study recurrent operators from a new perspective by introducing the notion of hyper-recurrent operators and establish robust connections with quasi-rigid operators. For example,…