International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 4, Pages 809-812
doi:10.1155/S016117128200074X
Research notes
A note on Gordan's theorem over cone domains
1Department of Statistics, Virginia Polytechnical Institute, Blacksburg 24061, Virginia, USA
2Department of Statistics, Iowa State University, Ames 50011, Iowa, USA
Received 6 April 1982; Revised 8 September 1982
Copyright © 1982 Brad Skarpness and V. A. Sposito. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.