Openness and continuity in locally convex cones

Somayyeh Jafarizad, Asghar Ranjbari

In this paper we define nearly continuity and nearly openness of linear operators between locally convex cones. Also we give some conditions on locally convex cones and linear operators which ensure that every nearly continuous (nearly open) mapping is continuous (open). We show by an example that a nearly continuous operator is not necessarily continuous.