{
  "id": "math/0205280",
  "version": "v1",
  "published": "2002-05-27T12:02:10.000Z",
  "updated": "2002-05-27T12:02:10.000Z",
  "title": "On strict suns in $\\ell^\\infty(3)$",
  "authors": [
    "A. R. Alimov"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "A subset M of a normed linear space X is said to be a {\\it strict sun} if, for every point $x\\in X\\setminus M$, the set of its nearest points from~$M$ is non-empty and if $y\\in M$ is a nearest point from M to x, then y is a nearest point from M to all points from the ray $\\{\\lambda x+(1- \\lambda)y | \\lambda>0\\}$. In the paper there obtained a geometrical characterisation of strict suns in $\\ell^\\infty(3)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-27T12:02:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A65"
    ],
    "keywords": [
      "strict sun",
      "nearest point",
      "normed linear space",
      "geometrical characterisation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5280A"
    }
  }
}