Summable and integrable functions with respect to any Loomis-system

DOI10.1007/BF01271664zbMath0612.28010OpenAlexW2060221950MaRDI QIDQ1088018

Pablo Bobillo Guerrero, Manuel Díaz-Carrillo

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01271664

zbMATH Keywords

integrable functionssummable functionsLoomis systemnonnegative linear functionalprolongation of a Daniell functional

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (4)

Local integral metrics and Daniell-Loomis integrals ⋮ Local and improper Daiell-Loomis integrals ⋮ On the summability of certain \(\mu\)-integrable functions ⋮ Daniell-Loomis integrals

Cites Work

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• The Daniell-Bourbaki Integral for Finitely Additive Measures
• Linear Functionals and Content

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