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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