{
  "id": "math/0208055",
  "version": "v1",
  "published": "2002-08-07T14:36:25.000Z",
  "updated": "2002-08-07T14:36:25.000Z",
  "title": "How many operators do there exist on a Banach space?",
  "authors": [
    "Th. Schlumprecht"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We present partial results to the following question: Does every infinite dimensional Banach space have an infinite dimensional subspace on which one can define an operator which is not a compact perturbation of a scalar multiplication?",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-07T14:36:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B03",
      "46B20"
    ],
    "keywords": [
      "infinite dimensional banach space",
      "infinite dimensional subspace",
      "partial results",
      "compact perturbation",
      "scalar multiplication"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......8055S"
    }
  }
}