A Riesz representation theorem for cone-valued functions (Q5934228)

The author defines Borel measures on a locally compact Hausdorff space and measurable functions with values in linear functionals on a locally convex cone. In this context the concepts of measure theory for real-valued functions can be applied. He also defines integrals for cone valued functions. A theorem of Riesz representation type is proved. It shows that continuous linear functionals on certain spaces of continuous cone valued functions endowed with a certain inductive limit topology can be represented by such integrals.