A Radon–Nikodym derivative for positive linear functionals
Volume 192 / 2009
Studia Mathematica 192 (2009), 1-14
MSC: Primary 28C05; Secondary 26A42, 28C15.
DOI: 10.4064/sm192-1-1
Abstract
An exact Radon–Nikodym derivative is obtained for a pair $( I,J) $ of positive linear functionals, with $J$ absolutely continuous with respect to $I$, using a notion of exhaustion of $I$ on elements of a function algebra lattice.
