{
  "id": "1701.07777",
  "version": "v1",
  "published": "2017-01-26T17:13:16.000Z",
  "updated": "2017-01-26T17:13:16.000Z",
  "title": "Henkin measures for the Drury-Arveson space",
  "authors": [
    "Michael Hartz"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We exhibit Borel probability measures on the unit sphere in $\\mathbb C^d$ for $d \\ge 2$ which are Henkin for the multiplier algebra of the Drury-Arveson space, but not Henkin in the classical sense. This provides a negative answer to a conjecture of Clou\\^atre and Davidson.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-26T17:13:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "47A13"
    ],
    "keywords": [
      "drury-arveson space",
      "henkin measures",
      "borel probability measures",
      "multiplier algebra",
      "unit sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}