{
  "id": "math/0206112",
  "version": "v1",
  "published": "2002-06-11T07:19:09.000Z",
  "updated": "2002-06-11T07:19:09.000Z",
  "title": "On factorization of operators between Banach spaces",
  "authors": [
    "Eugene Tokarev"
  ],
  "comment": "Latex2e",
  "categories": [
    "math.FA"
  ],
  "abstract": "A finite-dimensional analogue of the known Gordon-Lewis constant of a Banach space X is introduced; in its definition are used only finite rank operators. It is shown that there exist Banach spaces such that the standard Gordon-Lewis constant of X is finite and its finite-dimensional analogue GLfin(X) is infinite. Moreover, for any Banach space X of cotype 2 its finite-dimensional constant GLfin(X) is finite too.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-11T07:19:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A68",
      "47B10",
      "46B07",
      "46B20"
    ],
    "keywords": [
      "banach space",
      "factorization",
      "finite rank operators",
      "finite-dimensional constant glfin",
      "standard gordon-lewis constant"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6112T"
    }
  }
}