{
  "id": "0912.5178",
  "version": "v1",
  "published": "2009-12-28T15:03:31.000Z",
  "updated": "2009-12-28T15:03:31.000Z",
  "title": "A decomposition theorem for maxitive measures",
  "authors": [
    "Paul Poncet"
  ],
  "comment": "11 pages",
  "journal": "Linear Algebra Appl. 435 (2011) 1672-1680",
  "doi": "10.1016/j.laa.2010.03.004",
  "categories": [
    "math.GN",
    "math.OC"
  ],
  "abstract": "A maxitive measure is the analogue of a finitely additive measure or charge, in which the usual addition is replaced by the supremum operation. Contrarily to charges, maxitive measures often have a density. We show that maxitive measures can be decomposed as the supremum of a maxitive measure with density, and a residual maxitive measure that is null on compact sets under specific conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-28T15:03:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28B15",
      "28C15",
      "06B35",
      "03E72",
      "49J52"
    ],
    "keywords": [
      "decomposition theorem",
      "specific conditions",
      "compact sets",
      "residual maxitive measure",
      "usual addition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.5178P"
    }
  }
}