{
  "id": "1307.6118",
  "version": "v1",
  "published": "2013-07-23T15:19:32.000Z",
  "updated": "2013-07-23T15:19:32.000Z",
  "title": "On extendibility and decomposability of certain *-linear maps into C (X)",
  "authors": [
    "Ulrich Haag"
  ],
  "comment": "8 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We consider *-linear maps into a commutative C*-algebra C (X) of continuous functions on a locally compact Hausdorff space X with certain specified properties and prove two results: (1) an extension result for a class of *-linear maps Y --> C (X) which may be called of locally compact type (locally finite) with respect to an inclusion Y < X of normed vector spaces, and (2) a minimal decomposition for certain *-linear maps into C (X) (absolutely continuous) as a difference of two positive maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-23T15:19:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L07"
    ],
    "keywords": [
      "extendibility",
      "decomposability",
      "locally compact hausdorff space",
      "extension result",
      "minimal decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6118H"
    }
  }
}