Korovkin Approximation for Weighted Set-Valued Functions Original Research Article

We investigate an approximation problem in weighted spaces of continuous functions whose domain is a locally compact Hausdorff space and whose values are non-empty compact convex subsets of a locally convex space. We prove a Korovkin type approximation theorem for monotone linear operators on such spaces and generalize results from earlier work which deals with compact domains and compact convex subsets of a Frechét space, resp. of Rn.