Geodesic
The separation from a vector measure of the part representable by a Bochner integral
Matematičeskie zametki, Tome 17 (1975) no. 5, pp. 797-808 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, the possibility is established of decomposing a vector measure of $\sigma$-finite variation into parts. One of them belongs to the class of vector measures representable by separable-valued weakly integrable functions (in the case of a vector measure of finite variation this part is representable by a Bochner integral); the other part cannot have such a representation on any subset of positive measure of the carrier. Some properties of measures of these classes are investigated. 
@article{MZM_1975_17_5_a13,
     author = {V. I. Rybakov},
     title = {The separation from a~vector measure of the part representable by {a~Bochner} integral},
     journal = {Matemati\v{c}eskie zametki},
     pages = {797--808},
     year = {1975},
     volume = {17},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_5_a13/}
}
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V. I. Rybakov. The separation from a vector measure of the part representable by a Bochner integral. Matematičeskie zametki, Tome 17 (1975) no. 5, pp. 797-808. http://geodesic.mathdoc.fr/item/MZM_1975_17_5_a13/