{
  "id": "1705.06602",
  "version": "v1",
  "published": "2017-05-17T09:48:39.000Z",
  "updated": "2017-05-17T09:48:39.000Z",
  "title": "On the peripheral spectrum of positive elements",
  "authors": [
    "Egor A. Alekhno"
  ],
  "comment": "33 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We investigate the peripheral spectrum of irreducible positive elements of an ordered Banach algebra. In particular, we give conditions under which the peripheral spectrum contains (or coincides with) the cyclic group generated by a root of unity, and conditions under which the whole spectrum is invariant under the action of this cyclic group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-17T09:48:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "46B40",
      "46H30",
      "46H10"
    ],
    "keywords": [
      "cyclic group",
      "peripheral spectrum contains",
      "ordered banach algebra",
      "conditions",
      "irreducible positive elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}