{
  "id": "1902.01677",
  "version": "v1",
  "published": "2019-02-05T13:54:33.000Z",
  "updated": "2019-02-05T13:54:33.000Z",
  "title": "Stability results of properties related to the Bishop-Phelps-Bollobás property for operators",
  "authors": [
    "M. D. Acosta",
    "M. Soleimani-Mourchehkhorti"
  ],
  "comment": "24 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that the class of Banach spaces $Y$ such that the pair $(\\ell_1, Y)$ has the Bishop-Phelps-Bollob\\'as property for operators is stable under finite products when the norm of the product is given by an absolute norm. We also provide examples showing that previous stability results obtained for that property are optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-05T13:54:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "47B99"
    ],
    "keywords": [
      "stability results",
      "bishop-phelps-bollobás property",
      "absolute norm",
      "bishop-phelps-bollobas property",
      "finite products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}