{
  "id": "math/0603322",
  "version": "v2",
  "published": "2006-03-14T07:55:40.000Z",
  "updated": "2006-10-09T15:10:17.000Z",
  "title": "Szegö limit theorems for operators with almost periodic diagonals",
  "authors": [
    "Steffen Roch",
    "Bernd Silbermann"
  ],
  "comment": "32 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The classical Szeg\\\"o theorems study the asymptotic behaviour of the determinants of the finite sections $P_n T(a) P_n$ of Toeplitz operators, i.e., of operators which have constant entries along each diagonal. We generalize these results to operators which have almost periodic functions on their diagonals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-09T15:10:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B36",
      "47A75",
      "47B35"
    ],
    "keywords": [
      "periodic diagonals",
      "limit theorems",
      "theorems study",
      "finite sections",
      "toeplitz operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3322R"
    }
  }
}