States on pseudo effect algebras and integrals
Functional Analysis
2015-05-19 v1
Abstract
We show that every state on an interval pseudo effect algebra satisfying some kind of the Riesz Decomposition Properties (RDP) is an integral through a regular Borel probability measure defined on the Borel -algebra of a Choquet simplex . In particular, if satisfies the strongest type of (RDP), the representing Borel probability measure can be uniquely chosen to have its support in the set of the extreme points of
Cite
@article{arxiv.1008.1974,
title = {States on pseudo effect algebras and integrals},
author = {Anatolij Dvurecenskij},
journal= {arXiv preprint arXiv:1008.1974},
year = {2015}
}