Bornological Locally Convex Cones

Abstract

In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept of bornological spaces. We introduce and investigate the convex quasiuniform structures U_{tau}, U_{sigma}(P,P*) and \U_{beta}(P,P*) on locally convex cone (P,U).

Keywords

• Locally convex cones
• Bornological Cones