{
  "id": "math/0204060",
  "version": "v4",
  "published": "2002-04-04T13:17:11.000Z",
  "updated": "2003-04-07T09:25:33.000Z",
  "title": "Differentiable perturbation of unbounded operators",
  "authors": [
    "Andreas Kriegl",
    "Peter W. Michor"
  ],
  "comment": "amstex 9 pages. Some misprints corrected",
  "journal": "Math. Ann. 327 (2003), 191 - 201",
  "categories": [
    "math.FA",
    "math.AP",
    "math.SP"
  ],
  "abstract": "If $A(t)$ is a $C^{1,\\al}$-curve of unbounded self-adjoint operators with compact resolvents and common domain of definition, then the eigenvalues can be parameterized $C^1$ in $t$. If $A$ is $C^\\infty$ then the eigenvalues can be parameterized twice differentiable.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-04-07T09:25:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "47A75"
    ],
    "keywords": [
      "unbounded operators",
      "differentiable perturbation",
      "eigenvalues",
      "common domain",
      "unbounded self-adjoint operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4060K"
    }
  }
}