{
  "id": "1306.6740",
  "version": "v2",
  "published": "2013-06-28T07:38:35.000Z",
  "updated": "2013-07-22T08:47:03.000Z",
  "title": "The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions",
  "authors": [
    "Maria Acosta",
    "Julio Becerra",
    "Yun Sung Choi",
    "Maciej Ciesielski",
    "Sun Kwang Kim",
    "Han Ju Lee",
    "Mary Lilian Lourenço",
    "Miguel Martin"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that the space of bounded and linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollob\\'as property. A similar result is also proved for the class of compact operators from the space of continuous functions vanishing at infinity on a locally compact and Hausdorff topological space into a uniformly convex space, and for the class of compact operators from a Banach space into a predual of an $L_1$-space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-22T08:47:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B04"
    ],
    "keywords": [
      "continuous functions",
      "bishop-phelps-bollobás property",
      "compact operators",
      "compact hausdorff topological spaces",
      "banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6740A"
    }
  }
}