{
  "id": "1102.2454",
  "version": "v5",
  "published": "2011-02-11T23:04:53.000Z",
  "updated": "2011-06-06T19:43:53.000Z",
  "title": "Model Theory of a Hilbert Space Expanded with an Unbounded Closed Selfadjoint Operator",
  "authors": [
    "Camilo Argoty"
  ],
  "categories": [
    "math.LO",
    "math.SP"
  ],
  "abstract": "We study a closed unbounded self-adoint operator Q acting on a Hilbert space H in the framework of Metric Abstract Elementary Classes (MAECS). We build a suitable MAEC for (H,Q), prove it is aleph 0 stable up to perturbations and characterize non-splitting and show it has the same properties as non-forking in superstable first order theorues. Also, we characterize equality, orthogonality and domination of (Galois) types in that MAEC.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-06-06T19:43:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "03C48",
      "03C52",
      "03C65",
      "03C98",
      "28E15",
      "37K05",
      "46C05",
      "46C07",
      "47A05"
    ],
    "keywords": [
      "unbounded closed selfadjoint operator",
      "hilbert space",
      "model theory",
      "metric abstract elementary classes",
      "superstable first order theorues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.2454A"
    }
  }
}