Order theoretic foundations of integration

DOI10.1007/BF01397977zbMath0111.25605MaRDI QIDQ1131039

Erik M. Alfsen

Publication date: 1963

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161035

zbMATH Keywords

differentiation and integration, measure theory

Related Items (12)

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Cites Work

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• Stochastische Konvergenz von Seminartingalen
• Sur quelques notions fondamentales dans la théorie générale des opérations linéaires
• Sur le théorème de Lebesgue-Nikodym
• Ergodic theorems in semi-ordered linear spaces
• A theory of Radon measures on locally compact spaces
• On a General Theory of Integration Based On Order.
• Convergence of Martingales with a Directed Index Set
• The optimal Lebesgue-Radon-Nikodym inequality
• On the Equivalence Between Proximity Structures and Totally Bounded Uniform Structures.
• Definitions of Stieltjes Integrals of the Riemann Type
• Notes on Integration
• Remark Concerning Integration
• Finitely Additive Measures
• Order-Preserving Maps and Integration Processes. (AM-31)
• Sur le théorème de Lebesgue-Nikodym. II
• Reguläre und singuläre Abbildungen eines distributiven Verbandes in einen vollständigen Vektorverband, welche der Funktionalgleichung f(xy) + f(xy) = f(x) + f(y).

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