{
  "id": "1910.07761",
  "version": "v1",
  "published": "2019-10-17T08:15:02.000Z",
  "updated": "2019-10-17T08:15:02.000Z",
  "title": "Range preserving maps between the spaces of continuous functions with values in a locally convex space",
  "authors": [
    "Yuta Enami"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $C(X,E)$ be the linear space of all continuous functions on a compact Hausdorff space $X$ with values in a locally convex space $E$. We characterize maps $T:C(X,E)\\to C(Y,E)$ which satisfy $\\mathrm{Ran}(TF-TG)\\subset\\mathrm{Ran}(F-G)$ for all $F,G\\in C(X,E)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-17T08:15:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E10"
    ],
    "keywords": [
      "locally convex space",
      "range preserving maps",
      "continuous functions",
      "compact hausdorff space",
      "linear space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}