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Partial measures. (English) Zbl 0973.28002

Summary: We study \(\sigma\)-additive set functions defined on a hereditary subclass of a \(\sigma\)-algebra with values in the extended real line. Analogs of the Jordan decomposition theorem and the Radon-Nikodým theorem are obtained.

MSC:

28A10 Real- or complex-valued set functions
28A12 Contents, measures, outer measures, capacities
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