Katsuhisa Koshino

Banach–Stone type theorems on uniformly continuous and Lipschitz continuous pseudometrics

Abstract For a uniform space $$Z = (Z,\mathcal {U}_Z)$$ Z = ( Z , U Z ) with a uniformity $$\mathcal {U}_Z$$ U Z , a pseudometric d on Z is uniformly continuous with respect to $$\mathcal {U}_Z$$ U Z if for each $$\epsilon > 0$$ ϵ > 0 , there is an entourage $$U \in \mathcal {U}_...