Abstract Riemann integrability and measurability

DOI10.1007/s10587-009-0080-9zbMath1224.28030OpenAlexW1488112734MaRDI QIDQ3070186

Ricardo del Campo, Enrique de Amo, Manuel Díaz-Carrillo

Publication date: 2 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37983

zbMATH Keywords

integral representationweak continuity conditionfinitely additive integrationhorizontal integrationlocalized convergence

Mathematics Subject Classification ID

Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

• Sulla rappresentazione di funzionali mediante integrali
• Local and improper Daiell-Loomis integrals
• A Mazur-Orlicz type theorem for submodular set functions
• Jordan fields and improper integrals
• Daniell-Loomis integrals
• Jordan measure and Riemann integration
• Integralerweiterungen mittels Normen
• Theory of capacities
• Absolute continuity theorems for abstract Riemann integration
• Linear functionals which are integrals
• Lokale Integralnomen und verallgemeinerte uneigentliche Riemann-Stieltjes-Integrale.
• Local integral metrics and Daniell-Loomis integrals
• Abstract Daniell-Loomis spaces
• Integrationstheorie. I.
• Linear Functionals and Content
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