{
  "id": "2112.10396",
  "version": "v2",
  "published": "2021-12-20T08:32:02.000Z",
  "updated": "2022-02-13T05:31:04.000Z",
  "title": "Natural lacunae method and Schatten-von Neumann classes of the convergence exponent",
  "authors": [
    "Maksim V. Kukushkin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The first our aim is to clarify the results obtained by Lidsky V.B. devoted to the decomposition on the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten-von Neumann class of the convergent exponent. Considering strictly accretive operators satisfying special conditions formulated in terms of the norm, we construct a sequence of contours of the power type in the contrary to the results of Lidsky V.B., where a exponential type sequence of contours was used.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-13T05:31:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B28",
      "47A10",
      "47B12",
      "47B10",
      "47B25",
      "20M05",
      "26A33"
    ],
    "keywords": [
      "schatten-von neumann class",
      "natural lacunae method",
      "convergence exponent",
      "operators satisfying special conditions",
      "accretive operators satisfying special"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}