Integral type linear functionals on ordered cones

DOI10.1090/S0002-9947-96-01858-2zbMath0862.46005OpenAlexW1585950584MaRDI QIDQ5690962

Walter Roth

Publication date: 9 January 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01858-2

zbMATH Keywords

Choquet theorylocally convex cones\(H\)-conesabstract potential theorypositive Radon measures\(H\)-integralsabstract integralslinear functionals on an ordered coneminimal with respect to a given subconemonotone functionals on cones of convex sets

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (1)

Spaces of vector-valued functions and their duals

Cites Work

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• Order and convexity in potential theory: H-cones. In collab. with Herbert Höllein
• Radon integrals. An abstract approach to integration and Riesz representation through function cones
• Ordered cones and approximation
• A New Concept for a Choquet Ordering

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