{
  "id": "1611.01339",
  "version": "v1",
  "published": "2016-11-04T11:47:56.000Z",
  "updated": "2016-11-04T11:47:56.000Z",
  "title": "J-fusion frame for Krein spaces",
  "authors": [
    "Shibashis Karmakar"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we introduce the notion of $J$-fusion frame for a Krein space $\\mathbb{K}$. We prove some basic results regarding $J$-fusion frame. We also approximate $J$-fusion frame bounds of a $J$-fusion frame by the upper and lower bounds of the synthesis operator. Finally we provide a necessary and sufficient condition under which the image of $J$-fusion frame under a bounded invertible linear map is also a $J$-fusion frame.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-04T11:47:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46C05",
      "46C20"
    ],
    "keywords": [
      "krein space",
      "j-fusion frame",
      "fusion frame bounds",
      "lower bounds",
      "synthesis operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}