Completeness of \({\mathcal L}^ p\) spaces and Radon-Nikodym theorems for unbounded finitely additive measures

DOI10.1006/jmaa.1997.5744zbMath0889.28002OpenAlexW2035920580MaRDI QIDQ1380311

Wayne C. Bell, John W. Hagood

Publication date: 4 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5744

zbMATH Keywords

Radon-Nikodým derivativefinitely additive measurescompleteness of the Lebesgue spacesMaharam integral

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Integration with respect to measures and other set functions (28A25)

Related Items (3)

On a relation between density measures and a certain flow ⋮ Density measures and additive property ⋮ Completeness of \(L_p\)-spaces in the finitely additive setting and related stories

Cites Work

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• A Radon-Nikodým theorem and \(L_ p\) completeness for finitely additive vector measures
• Jordan fields and improper integrals
• A remark on E. Green's paper "Completeness of $L^p$-spaces over finitely additive set functions
• A Nonuniform Version of the Theorem of Radon-Nikodym in the Finitely-Additive Case with Applications to Extensions of Finitely-Additive Set Functions
• Completeness of $L^p$-spaces over finitely additive set functions
• On the completeness of $ℒ_p$-spaces over a charge

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