Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 247-254
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V. I. Rybakov. Theorem of Bartle, Dunford, and Schwartz concerning vector measures. Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 247-254. http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a13/
@article{MZM_1970_7_2_a13,
author = {V. I. Rybakov},
title = {Theorem of {Bartle,} {Dunford,} and {Schwartz} concerning vector measures},
journal = {Matemati\v{c}eskie zametki},
pages = {247--254},
year = {1970},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a13/}
}
TY - JOUR
AU - V. I. Rybakov
TI - Theorem of Bartle, Dunford, and Schwartz concerning vector measures
JO - Matematičeskie zametki
PY - 1970
SP - 247
EP - 254
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a13/
LA - ru
ID - MZM_1970_7_2_a13
ER -
%0 Journal Article
%A V. I. Rybakov
%T Theorem of Bartle, Dunford, and Schwartz concerning vector measures
%J Matematičeskie zametki
%D 1970
%P 247-254
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a13/
%G ru
%F MZM_1970_7_2_a13
We show the existence, for an arbitrary vector measure $\mu:\Sigma\to X$ (where $X$ is a Banach space and $\Sigma$ is a $\sigma$-algebra of subsets of a set $S$) of a functional $x'\in X'$ ($X'$ is the conjugate space of $X$) such that $\mu$ is absolutely continuous with respect to $\mu_{x'}$, $\mu_{x'}(E)=$, $E\in\Sigma$.
