{
  "id": "1406.3645",
  "version": "v1",
  "published": "2014-06-13T21:05:05.000Z",
  "updated": "2014-06-13T21:05:05.000Z",
  "title": "Truncated moment problems for $J$-self-adjoint, $J$-skew-self-adjoint and $J$-unitary operators",
  "authors": [
    "Sergey M. Zagorodnyuk"
  ],
  "comment": "16 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study truncated moment problems for $J$-self-adjoint, $J$-skew-self-adjoint and $J$-unitary operators. Conditions of the solvability are given. Some canonical solutions of the moment problems are constructed. As a by-product, some extension results for $J$-skew-symmetric and $J$-isometric operators are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-13T21:05:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A60"
    ],
    "keywords": [
      "unitary operators",
      "skew-self-adjoint",
      "study truncated moment problems",
      "isometric operators",
      "extension results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.3645Z"
    }
  }
}