{
  "id": "math/0611506",
  "version": "v2",
  "published": "2006-11-16T16:28:41.000Z",
  "updated": "2009-06-08T13:27:34.000Z",
  "title": "Many parameter Hoelder perturbation of unbounded operators",
  "authors": [
    "Andreas Kriegl",
    "Peter W. Michor",
    "Armin Rainer"
  ],
  "comment": "LaTeX, 4 pages; The result is generalized from Lipschitz to Hoelder. Title changed",
  "journal": "Math. Ann. 353, 2 (2012), 519-522",
  "doi": "10.1007/s00208-011-0693-9",
  "categories": [
    "math.FA",
    "math.SP"
  ],
  "abstract": "If $u\\mapsto A(u)$ is a $C^{0,\\alpha}$-mapping, for $0< \\alpha \\le 1$, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parametrized by $u$ in an (even infinite dimensional) space, then any continuous (in $u$) arrangement of the eigenvalues of $A(u)$ is indeed $C^{0,\\alpha}$ in $u$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-08T13:27:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "47A56",
      "47B25"
    ],
    "keywords": [
      "parameter hoelder perturbation",
      "unbounded operators",
      "values unbounded self-adjoint operators",
      "infinite dimensional",
      "compact resolvents"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11506K"
    }
  }
}