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

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.

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Year of publication:	1985
Authors:	Mussmann, Dieter
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 17.1985, 1, p. 99-106
Publisher:	Elsevier
Keywords:	Radon-Nikodym theorem vector-valued measure transition measure countably order complete vector lattice

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005160503