Separation properties and exact Radon-Nikodým derivatives for bounded finitely additive measures

Wayne C. Bell and John William Hagood

Vol. 131 (1988), No. 2, 237–248

DOI: 10.2140/pjm.1988.131.237

Abstract

Necessary and sufficient conditions for a μ-continuous, bounded finitely additive measure to have an exact Radon-Nikodym derivative are obtained in terms of a new separation property intermediate between disjointness and mutual singularity.

Mathematical Subject Classification 2000

Primary: 28A12

Milestones

Received: 29 September 1986

Published: 1 February 1988