{
  "id": "1909.01690",
  "version": "v1",
  "published": "2019-09-04T10:49:46.000Z",
  "updated": "2019-09-04T10:49:46.000Z",
  "title": "Characterization of $k-$smooth operators between Banach spaces",
  "authors": [
    "Arpita Mal",
    "Kallol Paul"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study $k-$smoothness of bounded linear operators defined between arbitrary Banach spaces. As an application, we characterize $k-$smooth operators defined from $\\ell_1^n$ to an arbitrary Banach space. We also completely characterize $k-$smooth operators defined between arbitrary two-dimensional Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-04T10:49:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "47L05"
    ],
    "keywords": [
      "smooth operators",
      "arbitrary banach space",
      "characterization",
      "arbitrary two-dimensional banach spaces",
      "bounded linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}