{
  "id": "1706.04003",
  "version": "v1",
  "published": "2017-06-13T11:16:31.000Z",
  "updated": "2017-06-13T11:16:31.000Z",
  "title": "Dual pair and Approximate dual for continuous frames in Hilbert spaces",
  "authors": [
    "Asghar Rahimi",
    "Zahra Darvishi",
    "Bayaz Daraby"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this manuscript, the concept of dual and approximate dual for continuous frames in Hilbert spaces will be introduced. Some of its properties will be studied. Also, the relations between two continuous Riesz bases in Hilbert spaces will be clarified through examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-13T11:16:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41C40",
      "H.5.5"
    ],
    "keywords": [
      "hilbert spaces",
      "approximate dual",
      "continuous frames",
      "dual pair",
      "continuous riesz bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}