Separation Properties for Locally Convex Cones
Journal of convex analysis, Tome 9 (2002) no. 1, pp. 301-307
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
46A20, 46A22
Mots-clés : Locally convex cones, separation properties, representation
Mots-clés : Locally convex cones, separation properties, representation
@article{JCA_2002_9_1_JCA_2002_9_1_a17,
author = {W. Roth},
title = {Separation {Properties} for {Locally} {Convex} {Cones}},
journal = {Journal of convex analysis},
pages = {301--307},
year = {2002},
volume = {9},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a17/}
}
W. Roth. Separation Properties for Locally Convex Cones. Journal of convex analysis, Tome 9 (2002) no. 1, pp. 301-307. http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a17/