{
  "id": "1211.5947",
  "version": "v1",
  "published": "2012-11-26T13:35:00.000Z",
  "updated": "2012-11-26T13:35:00.000Z",
  "title": "Interpolation of Ces{à}ro sequence and function spaces",
  "authors": [
    "Sergey V. Astashkin",
    "Lech Maligranda"
  ],
  "comment": "28 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The interpolation property of Ces{\\`a}ro sequence and function spaces is investigated. It is shown that $Ces_p(I)$ is an interpolation space between $Ces_{p_0}(I)$ and $Ces_{p_1}(I)$ for $1 < p_0 < p_1 \\leq \\infty$ and $1/p = (1 - \\theta)/p_0 + \\theta /p_1$ with $0 < \\theta < 1$, where $I = [0, \\infty)$ or $[0, 1]$. The same result is true for Ces{\\`a}ro sequence spaces. On the other hand, $Ces_p[0, 1]$ is not an interpolation space between $Ces_1[0, 1]$ and $Ces_{\\infty}[0, 1]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-26T13:35:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "46B20",
      "46B42"
    ],
    "keywords": [
      "function spaces",
      "ro sequence",
      "interpolation space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.5947A"
    }
  }
}