{
  "id": "1510.01524",
  "version": "v1",
  "published": "2015-10-06T10:58:40.000Z",
  "updated": "2015-10-06T10:58:40.000Z",
  "title": "Composition Operators on the Bloch space of the Unit Ball of a Hilbert Space",
  "authors": [
    "Oscar Blasco",
    "Pablo Galindo",
    "Mikael Lindström",
    "Alejandro Miralles"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Every analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are provided, as well as some examples that clarify the connections among such conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-06T10:58:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D45",
      "46E50",
      "46G20"
    ],
    "keywords": [
      "unit ball",
      "bloch space",
      "hilbert space induces",
      "bounded composition operator",
      "analytic self-map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}