{
  "id": "1208.2012",
  "version": "v2",
  "published": "2012-08-09T19:22:39.000Z",
  "updated": "2012-11-01T06:26:57.000Z",
  "title": "Representation of Generalized Bi-Circular Projections on Banach Spaces",
  "authors": [
    "A. B. Abubaker",
    "Fernanda Botelho",
    "James Jamison"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove several results concerning the representation of projections on arbitrary Banach spaces. We also give illustrative examples including an example of a generalized bi-circular projection which can not be written as the average of the identity with an isometric reflection. We also characterize generalized bi-circular projections on $C_0(\\Om,X)$, with $\\Om$ a locally compact Hausdorff space (not necessarily connected) and $X$ a Banach space with trivial centralizer.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-01T06:26:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "47B15",
      "46B99",
      "47A65"
    ],
    "keywords": [
      "representation",
      "locally compact hausdorff space",
      "arbitrary banach spaces",
      "isometric reflection",
      "characterize generalized bi-circular projections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.2012A"
    }
  }
}