This article is cited in 3 papers

Nonclosed Archimedean cones in locally convex spaces

A. E. Gutman^ab, E. Yu. Emel'yanov^ca, A. V. Matyukhin<sup>b

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia
^c Middle East Technical University, Ankara, Turkey

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.

Key words: Archimedean ordered vector space, locally convex space, weak topology, cone, wedge.

UDC: 517.98

Received: 08.09.2015