{
  "id": "1602.07077",
  "version": "v1",
  "published": "2016-02-23T08:10:06.000Z",
  "updated": "2016-02-23T08:10:06.000Z",
  "title": "On the Carleman ultradifferentiable vectors of a scalar type spectral operator",
  "authors": [
    "Marat V. Markin"
  ],
  "journal": "Methods Funct. Anal. Topol. {\\bf 21} (2015), no. 4, 361--370",
  "categories": [
    "math.FA"
  ],
  "abstract": "A description of the Carleman classes of vectors, in particular the Gevrey classes, of a scalar type spectral operator in a reflexive complex Banach space is shown to remain true without the reflexivity requirement. A similar nature description of the entire vectors of exponential type, known for a normal operator in a complex Hilbert space, is generalized to the case of a scalar type spectral operator in a complex Banach space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-23T08:10:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B40",
      "47B15"
    ],
    "keywords": [
      "scalar type spectral operator",
      "carleman ultradifferentiable vectors",
      "complex hilbert space",
      "reflexive complex banach space",
      "similar nature description"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160207077M"
    }
  }
}