Kolmogorov$\unicode{x2013}$Riesz compactness in asymptotic $L_p$ spaces

Nuno J. Alves

We extend the classical Kolmogorov-Riesz compactness theorem to the setting of asymptotic $L_p$ spaces on ${\mathbb{R}}^n$. These are nonlocally convex $\mathrm{F}$-spaces that conta…