×

A Radon-Nikodým theorem for the Bartle-Dunford-Schwartz integral with respect to finitely additive measures. (English) Zbl 0885.46038

The aim of this paper is to extend the Radon-Nikodým theorem of [K. Musiał, Atti Sem. Mat. Fis. Univ. Modena 41, No. 1, 227-233 (1993; Zbl 0794.46036)] to the case of finitely additive measure’s. The Radon-Nikodým theorem here proven makes use of the Moedomo-Uhl kind of assumption [S. Moedomo and J. J. Uhl, Pac. J. Math. 38, 531-536 (1971; Zbl 0227.28008)].

MSC:

46G10 Vector-valued measures and integration
60H05 Stochastic integrals
PDFBibTeX XMLCite