{
  "id": "1909.06364",
  "version": "v1",
  "published": "2019-09-13T07:37:48.000Z",
  "updated": "2019-09-13T07:37:48.000Z",
  "title": "Riesz bases in quaternionic Hilbert spaces",
  "authors": [
    "S. K. Sharma",
    "Virender",
    "S. K. Kaushik"
  ],
  "comment": "10 Pages. arXiv admin note: substantial text overlap with arXiv:1803.05773, arXiv:1705.04926",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we introduce and study Riesz bases in a separable quaternionic Hilbert spaces. Some results on Riesz bases in a separable quaternionic Hilbert spaces are proved. It is also proved that a Riesz basis in a separable quaternionic Hilbert space a frame for the quaternionic Hilbert space. Riesz sequences are defined and equivalence of a Riesz basis and a complete Riesz sequence in a separable quaternionic Hilbert space is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-13T07:37:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15"
    ],
    "keywords": [
      "riesz basis",
      "separable quaternionic hilbert space",
      "study riesz bases",
      "complete riesz sequence",
      "equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}