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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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DOI

10.1016/0044-8486(94)90066-3

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1572-9575

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The Lattice and Simplex Structure of States on Pse

Authors: Anatolij Dvurečenskij
Publish Date: 2011/04/06
Volume: 50, Issue: 9, Pages: 2758-2775
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Abstract

We study states measures and signed measures on pseudo effect algebras with some version of the Riesz Decomposition Property RDP We show that the set of all Jordan signed measures is always an Abelian Dedekind complete ℓgroup Therefore the state space of a pseudo effect algebra with RDP is either empty or a nonempty Choquet simplex or even a Bauer simplex This will allow to represent states on pseudo effect algebras by standard integrals

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