A Riesz representation theorem for cone-valued functions

Walter Roth

Abstract and Applied Analysis, 1999, vol. 4, 1-21

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:937591

DOI: 10.1155/S1085337599000160

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