{
  "id": "1812.07391",
  "version": "v1",
  "published": "2018-12-16T07:23:05.000Z",
  "updated": "2018-12-16T07:23:05.000Z",
  "title": "$J$-fusion frame operator for Krein spaces",
  "authors": [
    "Shibashis Karmakar",
    "Sk. Monowar Hossein"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1611.01339",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article we find a necessary and sufficient condition under which a given collection of subspace is a $J$-fusion frame for a Krein space $\\mathbb{K}$. We also approximate $J$-fusion frame bounds of a $J$-fusion frame by the upper and lower bounds of the synthesis operator. Then, we obtain the $J$-fusion frame bounds of the cannonical $J$-dual fusion frame. Finally, we address the problem of characterizing those bounded linear operators in $\\mathbb{K}$ for which the image of $J$-fusion frame is also a $J$-fusion frame.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-16T07:23:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46C05",
      "46C20"
    ],
    "keywords": [
      "fusion frame operator",
      "krein space",
      "fusion frame bounds",
      "dual fusion frame",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}