{
  "id": "1208.4592",
  "version": "v1",
  "published": "2012-08-22T19:43:28.000Z",
  "updated": "2012-08-22T19:43:28.000Z",
  "title": "Topological radicals, III. Joint spectral radius",
  "authors": [
    "V. S. Shulman",
    "Yu. V. Turovskii"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We develop the theory of topological radicals, and in particular the theory of the hypocompact radical. The results are applied for obtaining convenient formulas of calculation of the joint spectral radius of a precompact family of elements in a Banach algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-22T19:43:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "joint spectral radius",
      "topological radicals",
      "obtaining convenient formulas",
      "banach algebra",
      "hypocompact"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.4592S"
    }
  }
}