{
  "id": "math/0205020",
  "version": "v2",
  "published": "2002-05-02T11:14:55.000Z",
  "updated": "2003-10-12T22:15:33.000Z",
  "title": "Compact endomorphisms of Banach algebras of infinitely differentiable functions",
  "authors": [
    "J. F. Feinstein",
    "H. Kamowitz"
  ],
  "comment": "Improved version, to appear in Journal of the LMS. 16 pages LaTeX",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We consider non-zero endomorphisms of the Dales and Davie algebras of infinitely differentiable functions on intervals in the real line. We discuss necessary and sufficient conditions for a selfmap of the interval to induce a compact endomorphism of these algebras. We also determine the spectra of these compact endomorphisms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-12T22:15:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46J15",
      "47B48"
    ],
    "keywords": [
      "infinitely differentiable functions",
      "compact endomorphism",
      "banach algebras",
      "davie algebras",
      "non-zero endomorphisms"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5020F"
    }
  }
}