Decompositions of Measures on Pseudo Effect Algebras

Details Decompositions of Measures on Pseudo Effect Algebras Decompositions of Measures on Pseudo Effect Algebras

2010-09-04

arxiv.org/abs/1009.0853v1

Mathematics

Functional Analysis

Scientific paper

Recently in \cite{Dvu3} it was shown that if a pseudo effect algebra satisfies a kind of the Riesz Decomposition Property ((RDP) for short), then its state space is either empty or a nonempty simplex. This will allow us to prove a Yosida-Hewitt type and a Lebesgue type decomposition for measures on pseudo effect algebra with (RDP). The simplex structure of the state space will entail not only the existence of such a decomposition but also its uniqueness.

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