The Lebesgue decomposition for group-valued set functions

Traynor, Tim

doi:10.1090/S0002-9947-1976-0419725-8

The Lebesgue decomposition for group-valued set functions
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by Tim Traynor

Trans. Amer. Math. Soc. 220 (1976), 307-319

DOI: https://doi.org/10.1090/S0002-9947-1976-0419725-8

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Abstract:

A Lebesgue-type decomposition is obtained for finitely additive set functions on a ring with values in topological groups. Corresponding results for Fréchet-Nikodým topologies are included. This generalizes Darst’s result for real-valued set functions and a result of Drewnowski.

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