{
  "id": "math/0608466",
  "version": "v1",
  "published": "2006-08-18T13:15:16.000Z",
  "updated": "2006-08-18T13:15:16.000Z",
  "title": "Linear relations in the Calkin algebra for composition operators",
  "authors": [
    "Thomas Kriete",
    "Jennifer Moorhouse"
  ],
  "comment": "36 pages; to appear in Transactions of the Amer. Math. Soc",
  "categories": [
    "math.FA"
  ],
  "abstract": "We consider this and related questions: When is a finite linear combination of composition operators, acting on the Hardy space or the standard weighted Bergman spaces on the unit disk, a compact operator?",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-18T13:15:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33"
    ],
    "keywords": [
      "composition operators",
      "linear relations",
      "calkin algebra",
      "finite linear combination",
      "standard weighted bergman spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8466K"
    }
  }
}