
Journal of Convex Analysis 21 (2014), No. 4, 11411164 Copyright Heldermann Verlag 2014 Choquet Theory for VectorValued Functions on a Locally Compact Space Walter Roth Dept. of Mathematics, Universiti Brunei Darussalam,, Gadong BE1410, Brunei Darussalam walter.roth@ubd.edu.bn We consider spaces of continuous vectorvalued functions on a locally compact Hausdorff space X, endowed with suitable locally convex topologies. Using a family of sets of such functions an order on the dual of the function space is defined. This order yields minimal elements which as in classical Choquet theory can be characterized in terms of a subset (Choquet boundary) of X, thus providing information about the support of their representation measures. Keywords: Vectorvalued functions, integral representation. MSC: 46A22, 46A03, 46A20 [ Fulltextpdf (252 KB)] for subscribers only. 