{
  "id": "2203.13096",
  "version": "v1",
  "published": "2022-03-24T14:44:00.000Z",
  "updated": "2022-03-24T14:44:00.000Z",
  "title": "The essential norm of multiplication operators on $L_p(μ)$",
  "authors": [
    "Jürgen Voigt"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that the formula for the essential norm of a multiplication operator on $L_p$, for $1<p<\\infty$, also holds for $p=1$. We also provide a proof for the formula which works simultaneously for all $p\\in[1,\\infty)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-24T14:44:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "46E30",
      "46B42"
    ],
    "keywords": [
      "essential norm",
      "multiplication operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}