A Radon-Nikodým theorem and \(L_ p\) completeness for finitely additive vector measures

DOI10.1016/0022-247X(86)90350-1zbMath0601.28005MaRDI QIDQ1080970

John W. Hagood

Publication date: 1986

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

zbMATH Keywords

completenessexhaustion\(L_ p\) spaces of vector-valued functionsfinitely additive vector measureRadon-Nikodým theorem for finitely additive measures with values in a Banach spaceself-separable measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integration with respect to measures and other set functions (28A25) Vector-valued set functions, measures and integrals (28B05) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (4)

Completeness of \({\mathcal L}^ p\) spaces and Radon-Nikodym theorems for unbounded finitely additive measures ⋮ On the comparison of Aumann and Bochner integrals ⋮ Notes on Jordan fields based on an article by Maharam ⋮ Completeness of \(L_p\)-spaces in the finitely additive setting and related stories

Cites Work

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• Separation properties and exact Radon-Nikodým derivatives for bounded finitely additive measures
• A Radon-Nikodym theorem for finitely additive bounded measures
• Martingales à valeurs vectorielles. Applications à la dérivation des mesures vectorielles
• A Decomposition of Finitely Additive Set Functions.
• A Geometrical Characterization of Banach Spaces with the Radon-Nikodym Property
• The Radon-Nikodym Theorem for the Bochner Integral
• On Weakly Compact Subsets of a Banach Space

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