On the Radon-Nikodym theorem for measures with values in vector lattices

Dieter Mussmann

Journal of Multivariate Analysis, 1985, vol. 17, issue 1, 99-106

Abstract: Measures with values in a countably order-complete vector lattice are considered. The underlying [sigma]-algebra is assumed to be [sigma]-isomorphic to the Borel sets of the real line. Given one such measure, densities are searched which are not necessarily scalar-valued for smaller measures. The results can be used to prove the existence of a least upper bound for two such measures.

Keywords: Radon-Nikodym; theorem; vector-valued; measure; transition; measure; countably; order; complete; vector; lattice (search for similar items in EconPapers)
Date: 1985
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