PROJECTIVE AND INDUCTIVE LIMITS IN LOCALLY CONVEX CONES

We define and study the projective and inductive limit notions for locally convex cones.We use convex quasiuniform structure method for this purpose. Also we study the barreledness in the locally convex cones and introduce the notion upper-barreled cones and prove that the inductive limit of upper-barreled cones is upperbarreled.

Keywords:

Locally convex cone , convex quasiuniform structure , inductive limit , projective limit , barrel