{
  "id": "2004.14310",
  "version": "v1",
  "published": "2020-04-29T16:31:07.000Z",
  "updated": "2020-04-29T16:31:07.000Z",
  "title": "Normal functionals on Lipschitz spaces are weak$^\\ast$ continuous",
  "authors": [
    "Ramón J. Aliaga",
    "Eva Pernecká"
  ],
  "comment": "7 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\operatorname{Lip}_0(M)$ be the space of Lipschitz functions on a complete metric space $M$ that vanish at a base point. We show that every normal functional in $\\operatorname{Lip}_0(M)^\\ast$ is weak$^*$ continuous, answering a question by N. Weaver.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-29T16:31:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46E15"
    ],
    "keywords": [
      "normal functional",
      "lipschitz spaces",
      "complete metric space",
      "continuous"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}