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Lobachevskii Journal of Mathematics, 2000, Volume 6, Pages 47–50 (Mi ljm143)  
Partial measures

O. E. Tikhonov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (98 kB)
Abstract: 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.
Keywords: set function, $\sigma$-algebra, Jordan decomposition theorem, Radon–Nikodym theorem.
Submitted by: D. Kh. Mushtari
Received: 01.05.2000
Bibliographic databases:
Language: English
Citation: O. E. Tikhonov, “Partial measures”, Lobachevskii J. Math., 6 (2000), 47–50
Citation in format AMSBIB
\Bibitem{Tik00}
\by O.~E.~Tikhonov
\paper Partial measures
\jour Lobachevskii J. Math.
\yr 2000
\vol 6
\pages 47--50
\mathnet{http://mi.mathnet.ru/ljm143}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1783438}
\zmath{https://zbmath.org/?q=an:0973.28002}
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