{
  "id": "1504.01016",
  "version": "v1",
  "published": "2015-04-04T15:18:38.000Z",
  "updated": "2015-04-04T15:18:38.000Z",
  "title": "The unit ball of the predual of $H^\\infty(\\mathbb{B}_d)$ has no extreme points",
  "authors": [
    "Raphaël Clouâtre",
    "Kenneth R. Davidson"
  ],
  "comment": "6 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We identify the exposed points of the unit ball of the dual space of the ball algebra. As a corollary, we show that the predual of $H^\\infty(\\mathbb{B}_d)$ has no extreme points in its unit ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-04T15:18:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unit ball",
      "extreme points",
      "dual space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401016C"
    }
  }
}