{
  "id": "1405.6428",
  "version": "v2",
  "published": "2014-05-25T20:35:37.000Z",
  "updated": "2014-06-16T20:15:25.000Z",
  "title": "The Bishop-Phelps-Bollobás property for operators on $C(K)$",
  "authors": [
    "Maria D. Acosta"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We provide a version for operators of the Bishop-Phelps-Bollob\\'{a}s Theorem when the domain space is the complex space $C_0(L)$. In fact we prove that the pair $(C_0(L), Y)$ satisfies the Bishop-Phelps-Bollob\\'{a}s property for operators for every Hausdorff locally compact space $L$ and any $\\mathbb{C}$-uniformly convex space. As a consequence, this holds for $Y= L_p (\\mu)$ ($1 \\le p < \\infty $).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-16T20:15:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B28",
      "47B99"
    ],
    "keywords": [
      "bishop-phelps-bollobás property",
      "hausdorff locally compact space",
      "complex space",
      "domain space",
      "uniformly convex space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.6428A"
    }
  }
}