An exact functional Radon–Nikodym theorem for Daniell integrals
Volume 148 / 2001
Studia Mathematica 148 (2001), 97-110
MSC: 28B05, 26D15.
DOI: 10.4064/sm148-2-1
Abstract
Given two positive Daniell integrals $I$ and $J$, with $J$ absolutely continuous with respect to $I$, we find sufficient conditions in order to obtain an exact Radon–Nikodym derivative $f$ of $J$ with respect to $ I$. The procedure of obtaining $f$ is constructive.