Order and uo-convergence in spaces of continuous functions

Eugene Bilokopytov, Vladimir G. Troitsky

We present several characterizations of uo-convergent nets or sequences in spaces of continuous functions $C(\Omega )$, $C_b(\Omega )$, $C_0(\Omega )$, and $C^{\infty }(\Omega )$, extending results of [vdW18…