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Journal of Convex Analysis 09 (2002), No. 1, 301--307
Copyright Heldermann Verlag 2002

Separation Properties for Locally Convex Cones

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

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.

Keywords: Locally convex cones, separation properties, representation.

MSC: 46A20; 46A22

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