Isometries of Spaces of Radon Measures

Let ω and i denote a compact metrizable space with card(ω)≥2 and the unit interval,respectively. we prove milutin and cantor-bernstein type theorems for the spaces m(ω) of radon measures on compact hausdorff spaces ω. in particular,we obtain the following results: (1) for every infinite closed subset k of βn the spaces m(k),m(βn),and m(ω2 0) are order-isometric; (2) for every discrete space γ with mcard(γ)>0 the spaces m(βγ) and m(i2m) are order-isometric,whereas there is no linear homeomorphic injection from c(βt) into c(i2m). © 2017 marek wójtowicz.