{
  "id": "1905.12972",
  "version": "v1",
  "published": "2019-05-30T11:32:49.000Z",
  "updated": "2019-05-30T11:32:49.000Z",
  "title": "Bishop-Phelps-Bollobás property for positive operators between classical Banach spaces",
  "authors": [
    "María D. Acosta",
    "Maryam Soleimani-Mourchehkhorti"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that the class of positive operators from $L_\\infty (\\mu)$ to $L_1 (\\nu)$ has the Bishop-Phelps-Bollob\\'as property for any positive measures $\\mu$ and $\\nu$. The same result also holds for the pair $(c_0, \\ell_1)$. We also provide an example showing that not every pair of Banach lattices satisfies the Bishop-Phelps-Bollob\\'as property for positive operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-30T11:32:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B04",
      "47B99"
    ],
    "keywords": [
      "classical banach spaces",
      "positive operators",
      "bishop-phelps-bollobás property",
      "bishop-phelps-bollobas property",
      "banach lattices satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}