{
  "id": "1010.2243",
  "version": "v1",
  "published": "2010-10-11T21:24:45.000Z",
  "updated": "2010-10-11T21:24:45.000Z",
  "title": "Definable Operators on Hilbert Spaces",
  "authors": [
    "Isaac Goldbring"
  ],
  "comment": "10 pages",
  "categories": [
    "math.LO",
    "math.FA"
  ],
  "abstract": "Let H be an infinite-dimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exactly the \"scalar plus compact\" operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-11T21:24:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hilbert space",
      "definable operators",
      "scalar plus compact",
      "natural signature",
      "definable linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2243G"
    }
  }
}