@article{SM_1969_9_3_a2,
author = {G. P. Tolstov},
title = {On the {Radon{\textendash}Nikod\'ym} theorem},
journal = {Sbornik. Mathematics},
pages = {315--319},
year = {1969},
volume = {9},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1969_9_3_a2/}
}
TY - JOUR
AU - G. P. Tolstov
TI - On the Radon–Nikodým theorem
JO - Sbornik. Mathematics
PY - 1969
SP - 315
EP - 319
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/SM_1969_9_3_a2/
LA - en
ID - SM_1969_9_3_a2
ER -
%0 Journal Article
%A G. P. Tolstov
%T On the Radon–Nikodým theorem
%J Sbornik. Mathematics
%D 1969
%P 315-319
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/SM_1969_9_3_a2/
%G en
%F SM_1969_9_3_a2
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.
