Nonclosed Archimedean Cones in Locally Convex Spaces

Gutman, A. E. , Emel'yanov E. Yu. , Matyukhin A. V.
Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 3.

Abstract:
The problem is stated of describing the class of locally convex spaces which include nonclosed Archimedean cones. Some results are presented in the course of solving the problem.

Keywords: Archimedean ordered vector space, locally convex space, weak topology, cone, wedge

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