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Mathematics of the USSR-Sbornik, 1969, Volume 9, Issue 3, Pages 315–319
DOI: https://doi.org/10.1070/SM1969v009n03ABEH001286 (Mi sm3622) 		 
On the Radon–Nikodým theorem

G. P. Tolstov
English version PDF (253 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1969v009n03ABEH001286
Abstract: The author shows that in the well-known Radon–Nikodým theorem it is possible to drop the requirement that the space under consideration has $\sigma$-finite measure. The author also gives a partial solution to the problem formulated in a somewhat new fashion concerning the representation of a set function as an integral.
Bibliography: 4 titles.
Received: 02.12.1968
Bibliographic databases:
UDC: 517.3
MSC: 46B22, 28A05, 28C05
Language: English
Original paper language: Russian
Citation: G. P. Tolstov, “On the Radon–Nikodým theorem”, Math. USSR-Sb., 9:3 (1969), 315–319
Citation in format AMSBIB
\Bibitem{Tol69}
\by G.~P.~Tolstov
\paper On the Radon--Nikod\'ym theorem
\jour Math. USSR-Sb.
\yr 1969
\vol 9
\issue 3
\pages 315--319
\mathnet{http://mi.mathnet.ru//eng/sm3622}
\crossref{https://doi.org/10.1070/SM1969v009n03ABEH001286}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=249559}
\zmath{https://zbmath.org/?q=an:0185.11703}
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