Some notes on solid sets and us-lattice cones

Some notes on solid sets and us-lattice cones

In this paper, we define solid sets in locally convex lattice cones. We introduce us−lattice cones and prove that every locally convex lattice cone is the order projective limit of these structures. In the special case of locally convex solid Riesz spaces, the concept of us-lattice cone reduces to the known concept of semi-normed Riesz space