{
  "id": "1811.04252",
  "version": "v1",
  "published": "2018-11-10T13:14:34.000Z",
  "updated": "2018-11-10T13:14:34.000Z",
  "title": "Algebras of block Toeplitz matrices with commuting entries",
  "authors": [
    "Muhammad Ahsan Khan",
    "Dan Timotin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The maximal algebras of scalar Toeplitz matrices are known to be formed by generalized circulants. The identification of algebras consisting of block Toeplitz matrices is a harder problem, that has received little attention up to now. We consider the case when the block entries of the matrices belong to a commutative algebra $ \\mathcal{A} $. After obtaining some general results, we classify all the maximal algebras for certain particular cases of $ \\mathcal{A}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-10T13:14:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B05",
      "15A30"
    ],
    "keywords": [
      "block toeplitz matrices",
      "commuting entries",
      "maximal algebras",
      "scalar toeplitz matrices",
      "general results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}