Separation Properties for Locally Convex Cones

Walter Roth

Abstract

We introduce an order relation on a locally convex cone P which implies the strict separation property for continuous linear functionals. Using this order we establish representations for P as a cone of extended real-valued functions and as a cone of convex subsets of a vector space.

Author information

Contact details are reproduced from the original publication and may be historical.

Walter Roth

Dept. of Mathematics, University of Brunei Darussalam, Gadong BE1410, Brunei Darussalam

roth@fos.ubd.edu.bn

Keywords

Locally convex cones
separation properties
representation

Mathematics Subject Classification

46A20; 46A22

Suggested citation

W. Roth. “Separation Properties for Locally Convex Cones.” Journal of Convex Analysis 9 (2002), No. 1, 301–307.