Abstract and Applied Analysis
Volume 4 (1999), Issue 4, Pages 209-229
doi:10.1155/S1085337599000160

A Riesz representation theorem for cone-valued functions

Abstract

We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-valued functions endowed with an inductive limit topology may be represented by such integrals.