{
  "id": "1905.09393",
  "version": "v1",
  "published": "2019-05-21T04:08:36.000Z",
  "updated": "2019-05-21T04:08:36.000Z",
  "title": "Perturbation of Continuous Frames on Quaternionic Hilbert Spaces",
  "authors": [
    "M. Khokulan",
    "K. Thirulogasanthar"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this note, following the theory of discrete frame perturbations in a complex Hilbert space, we examine perturbation of rank $n$ continuous frame, rank $n$ continuous Bessel family and rank $n$ continuous Riesz family in a non-commutative setting, namely in a right quaternionic Hilbert space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-21T04:08:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40",
      "42C15"
    ],
    "keywords": [
      "continuous frame",
      "right quaternionic hilbert space",
      "discrete frame perturbations",
      "complex hilbert space",
      "continuous bessel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}