The separation from a vector measure of the part representable by a Bochner integral

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.