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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.FA2024
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,…