Mathematics – Functional Analysis
Scientific paper
2000-05-07
Lobachevskii Journal of Mathematics 6 (2000), 47-50 ( http://ljm.ksu.ru ).
Mathematics
Functional Analysis
4 pages. Submitted to Lobachevskii Journal of Mathematics ( http://ljm.ksu.ru)
Scientific paper
We study sigma-additive set functions defined on a hereditary subclass of a
sigma-algebra and taken values in the extended real line. Analogs of the Jordan
decomposition theorem and the Radon-Nikodym theorem are obtained.
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