2 problems

Let $M$ be a metric space, let $\operatorname{dens} M$ denote its density, and let $\operatorname{Lip}_0(M)$ be the Banach space of Lipschitz functions on $M$ vanishing at the dist…

Let $\{\pi_n\}_n$ be a sequence of finitely additive probabilities (FAPs). A FAP limit obtained by Stone's approach is an accumulation point of this sequence for the weak-$^*$ topo…