{
  "id": "0912.4032",
  "version": "v1",
  "published": "2009-12-20T17:30:06.000Z",
  "updated": "2009-12-20T17:30:06.000Z",
  "title": "Weighted composition operators as Daugavet centers",
  "authors": [
    "Romain Demazeux"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We investigate the norm identity $\\|uC_\\phi + T\\| = \\|u\\|_\\infty + \\|T\\|$ for classes of operators on $C(S)$, where $S$ is a compact Hausdorff space without isolated point, and characterize those weighted composition operators which satisfy this equation for every weakly compact operator $T : C(S)\\to C(S)$. We also give a characterization of such weighted composition operator acting on the disk algebra $A(D).$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-20T17:30:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "47B38",
      "46E15"
    ],
    "keywords": [
      "weighted composition operator",
      "daugavet centers",
      "compact hausdorff space",
      "weakly compact operator",
      "norm identity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.4032D"
    }
  }
}