Hahn–Banach type theorems on functional separation for convex ordered normed cones

We consider a special class of convex ordered normed cones CONC. For such structures we obtain Hahn–Banach type theorems on functional separation for points. On the base of a Hahn–Banach type theorem on functional separation for points we prove a sublinear version of the Rädström embedding theorem for the class CONC. Some analogues of Hahn–Banach separation theorem for some type of sets in CONC are obtained.