{
  "id": "1906.07931",
  "version": "v1",
  "published": "2019-06-19T06:13:58.000Z",
  "updated": "2019-06-19T06:13:58.000Z",
  "title": "Exponentiation of Lie Algebras of Linear Operators on Locally Convex Spaces",
  "authors": [
    "Rodrigo A. H. M. Cabral"
  ],
  "categories": [
    "math.FA",
    "math-ph",
    "math.DG",
    "math.DS",
    "math.MP",
    "math.OA"
  ],
  "abstract": "Necessary and sufficient conditions for the exponentiation of finite-dimensional real Lie algebras of linear operators on complete locally convex spaces are obtained, with a focus on the equicontinuous case. In particular, the exponentiation issue for compact Lie groups is completely solved. Applications to projective limits of Banach spaces and to complete locally convex algebras are given, with special attention to locally C$^*$-algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-19T06:13:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47L60",
      "47D03",
      "46L55",
      "46A13",
      "46M40",
      "47L10",
      "46H99",
      "46K99"
    ],
    "keywords": [
      "linear operators",
      "exponentiation",
      "finite-dimensional real lie algebras",
      "complete locally convex algebras",
      "complete locally convex spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}