{
  "id": "1907.10027",
  "version": "v1",
  "published": "2019-07-23T17:34:34.000Z",
  "updated": "2019-07-23T17:34:34.000Z",
  "title": "A note on the best approximation in spaces of affine functions",
  "authors": [
    "Maysam Maysami Sadr"
  ],
  "comment": "3 pages. Keywords: Best approximation, convex set, affine function, sandwich theorem",
  "categories": [
    "math.FA"
  ],
  "abstract": "The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the proofs we use some sandwich theorems of Fenchel's duality theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-23T17:34:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A65",
      "52A07"
    ],
    "keywords": [
      "best approximation",
      "fenchels duality theory",
      "bounded affine functions",
      "old result",
      "sandwich theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}