{
  "id": "0808.2037",
  "version": "v1",
  "published": "2008-08-14T17:48:14.000Z",
  "updated": "2008-08-14T17:48:14.000Z",
  "title": "Weak* continuous states on Banach algebras",
  "authors": [
    "Bojan Magajna"
  ],
  "comment": "5 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that if a unital Banach algebra $A$ is the dual of a Banach space $\\pd{A}$, then the set of weak* continuous states is weak* dense in the set of all states on $A$. Further, weak* continuous states linearly span $\\pd{A}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-14T17:48:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H05",
      "46B10",
      "47B44"
    ],
    "keywords": [
      "unital banach algebra",
      "banach space",
      "continuous states linearly span"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}