{
  "id": "math/9509216",
  "version": "v1",
  "published": "1995-09-27T00:00:00.000Z",
  "updated": "1995-09-27T00:00:00.000Z",
  "title": "Smooth functions and partitions of unity on certain Banach spaces",
  "authors": [
    "Richard Haydon"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We construct infinitely differentiable norms and partitions of unity for a class of Banach spaces which includes all spaces $\\C(K)$ with $K$ a countable compact space, and all spaces $\\C_0[0,\\Omega )$ with $\\Omega $ an ordinal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-09-27T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach spaces",
      "smooth functions",
      "partitions",
      "construct infinitely differentiable norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995math......9216H"
    }
  }
}