Nonconvex linear topologies with the Hahn Banach extension property.

Abstract

Let ⟨ E , E ′ ⟩ \langle E,E’\rangle be a dual pair of vector spaces. It is shown that whenever the weak and Mackey topologies on E E are different there is a nonconvex linear topology between them. In particular this provides a large class of nonconvex linear topologies having the Hahn Banach Extension Property.