A Riesz representation theorem for cone‐valued functions

Walter Roth

Abstract and Applied Analysis, 1999, vol. 4, issue 4, 209-229

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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https://doi.org/10.1155/S1085337599000160

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:4:y:1999:i:4:p:209-229

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