{
  "id": "1009.0853",
  "version": "v1",
  "published": "2010-09-04T17:42:16.000Z",
  "updated": "2010-09-04T17:42:16.000Z",
  "title": "Decompositions of Measures on Pseudo Effect Algebras",
  "authors": [
    "Anatolij Dvurecenskij"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-04T17:42:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03G12"
    ],
    "keywords": [
      "pseudo effect algebra satisfies",
      "state space",
      "riesz decomposition property",
      "lebesgue type decomposition",
      "simplex structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0853D"
    }
  }
}