{
  "id": "math/9604219",
  "version": "v1",
  "published": "1996-04-24T00:00:00.000Z",
  "updated": "1996-04-24T00:00:00.000Z",
  "title": "Composition of operator ideals and their regular hulls",
  "authors": [
    "Frank Oertel"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Given two quasi-Banach ideals \\oid{A}{}{} and \\oid{B}{}{} we investigate the regular hull of their composition - $(\\oid{A}{}{} \\circ \\oid{B}{}{})^{reg}$. In concrete situations this regular hull appears more often than the composition itself. As a first example we obtain a description for the regular hull of the nuclear operators which is a \"reflected\" Grothendieck representation:\\\\ $\\oid{N}{}{reg} \\stackrel{1}{=} \\oid{I}{}{} \\circ \\oid{W}{}{}$ (theorem 2.1). Further we recognize that the class of such ideals leads to interesting relations concerning the question of the accessibility of (injective) operator ideals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-04-24T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46M05"
    ],
    "keywords": [
      "operator ideals",
      "composition",
      "regular hull appears",
      "concrete situations",
      "quasi-banach ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math......4219O"
    }
  }
}