Geodesic
Theorem of Bartle, Dunford, and Schwartz concerning vector measures
Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 247-254

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $\mu_{x'}$, $\mu_{x'}(E)=$, $E\in\Sigma$. 
@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},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {1970},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a13/
%G ru
%F MZM_1970_7_2_a13
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/