{
  "id": "1406.6205",
  "version": "v1",
  "published": "2014-06-24T11:23:52.000Z",
  "updated": "2014-06-24T11:23:52.000Z",
  "title": "Frames on Krein Spaces",
  "authors": [
    "Shibashis Karmakar",
    "Sk Monowar Hossein"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article we define frame for a Krein space K with a J-orthonormal basis and extend the notion of frame sequence and frame potential analogous to Hilbert spaces.We show that every frame is a sum of three orthonormal bases of a Krein space. We also find relation between frame and orthogonal projections on Krein space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-24T11:23:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46C05",
      "46C20"
    ],
    "keywords": [
      "krein space",
      "orthogonal projections",
      "define frame",
      "frame sequence",
      "hilbert spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.6205K"
    }
  }
}