{
  "id": "1612.00431",
  "version": "v1",
  "published": "2016-12-01T20:49:35.000Z",
  "updated": "2016-12-01T20:49:35.000Z",
  "title": "Properties of J-fusion frames in Krein space",
  "authors": [
    "Shibashis Karmakar",
    "Sk. Monowar Hossein",
    "Kallol Paul"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1611.01339",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we characterize $\\sqrt{2}$-1-uniform $J$-Parseval fusion frames in a Krein space $\\mathbb{K}$. We provide a few results regarding construction of new $J$-tight fusion frame from given $J$-tight fusion frames. We also characterize any uniformly $J$-definite subspace of a Krein space $\\mathbb{K}$ in terms of a $J$-fusion frame inequality. Finally we generalize the fundamental identity of frames in Krein space $J$-fusion frame setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-01T20:49:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46C05",
      "46C20"
    ],
    "keywords": [
      "krein space",
      "j-fusion frames",
      "tight fusion frame",
      "properties",
      "fusion frame inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}