{
  "id": "1005.1814",
  "version": "v2",
  "published": "2010-05-11T12:16:40.000Z",
  "updated": "2015-04-23T04:55:08.000Z",
  "title": "Approximation of continuous functions on Fréchet spaces",
  "authors": [
    "M. A. Mytrofanov",
    "A. V. Ravsky"
  ],
  "comment": "9 pages, in Ukrainian",
  "journal": "English version publised in Journal of Mathematical Sciences, 185:6 (2012), 792--799",
  "categories": [
    "math.FA"
  ],
  "abstract": "We consider approximations of a continuous function on a countable normed Fr\\'{e}chet space by analytic and $*$-analytic. Also we found a criterium of the existence of an extension of a continuous function from a dense subspace of a topological space onto the space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-11T12:16:40.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-23T04:55:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A65"
    ],
    "keywords": [
      "continuous function",
      "fréchet spaces",
      "approximation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.1814M"
    }
  }
}