A Nonuniform Version of the Theorem of Radon-Nikodym in the Finitely-Additive Case with Applications to Extensions of Finitely-Additive Set Functions

DOI10.2307/2048598zbMath0741.28003OpenAlexW4241183633MaRDI QIDQ3982121

Detlef Plachky

Publication date: 26 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048598

zbMATH Keywords

invarianceergodic actionfinitely additive set functionsunit chargeapproximate Radon-Nikodým theoremweakly absolutely continuous extensions

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) General groups of measure-preserving transformations (28D15) Spaces of measures, convergence of measures (28A33)

Related Items (1)

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

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