{
  "id": "1102.0137",
  "version": "v1",
  "published": "2011-02-01T12:01:08.000Z",
  "updated": "2011-02-01T12:01:08.000Z",
  "title": "Commutators on $L_p$, $1\\le p<\\infty$",
  "authors": [
    "Detelin Dosev",
    "William B. Johnson",
    "Gideon Schechtman"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The operators on $\\LP=L_p[0,1]$, $1\\leq p<\\infty$, which are not commutators are those of the form $\\lambda I + S$ where $\\lambda\\neq 0$ and $S$ belongs to the largest ideal in $\\opLP$. The proof involves new structural results for operators on $\\LP$ which are of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-01T12:01:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B47",
      "46E30"
    ],
    "keywords": [
      "commutators",
      "largest ideal",
      "structural results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.0137D"
    }
  }
}