{
  "id": "1204.0096",
  "version": "v1",
  "published": "2012-03-31T12:50:59.000Z",
  "updated": "2012-03-31T12:50:59.000Z",
  "title": "Frames and Bases in Tensor Product of Hilbert Spaces",
  "authors": [
    "Amir Khosravi",
    "Mohammad Sadegh Asgari"
  ],
  "comment": "12 pages",
  "journal": "Intern. Math. Journal, Vol. 4, 2003, no. 6, 527 - 537",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \\cdot \\cdot \\cdot, Y_n are frames for H_1,H_2, \\cdot \\cdot \\cdot, H_n, respectively, then Y_1\\otimesY_2\\otimes...\\otimesY_n is a frame for H_\\otimes1H_2\\otimes \\cdot \\cdot \\cdot \\otimesH_n. Moreover we consider the canonical dual frame in tensor product space. We further obtain a relation between the dual frames in Hilbert spaces, and their tensor product.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-31T12:50:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A38",
      "42C15",
      "43A70"
    ],
    "keywords": [
      "hilbert spaces",
      "tensor product space",
      "canonical dual frame"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.0096K"
    }
  }
}