{
  "id": "1404.1185",
  "version": "v1",
  "published": "2014-04-04T08:52:47.000Z",
  "updated": "2014-04-04T08:52:47.000Z",
  "title": "Boundaries and polyhedral Banach spaces",
  "authors": [
    "Vladimir P Fonf",
    "Richard J Smith",
    "Stanimir Troyanski"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that if $X$ and $Y$ are Banach spaces, where $Y$ is separable and polyhedral, and if $T:X \\to Y$ is a bounded linear operator such that $T^*(Y^*)$ contains a boundary $B$ of $X$, then $X$ is separable and isomorphic to a polyhedral space. Some corollaries of this result are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-04T08:52:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20"
    ],
    "keywords": [
      "polyhedral banach spaces",
      "polyhedral space",
      "bounded linear operator",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.1185F"
    }
  }
}