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math.FA2025
A universal approximation theorem and its applications to vector lattice theory
Eugene Bilokopytov, Foivos Xanthos
A classical result in approximation theory states that for any continuous function \( φ: \mathbb{R} \to \mathbb{R} \), the set \( \operatorname{span}\{φ\circ g : g \in \operatornam…
math.FA2025
Pervasiveness of in
Quinn Kiervin Starkey, Foivos Xanthos
Let be Archimedean Riesz spaces, and let denote an order completion of . In this note, we provide necessary conditions under which the space of regular operators $\…