{
  "id": "1807.03836",
  "version": "v1",
  "published": "2018-07-01T22:51:38.000Z",
  "updated": "2018-07-01T22:51:38.000Z",
  "title": "Perturbation and stability of operator frame for $End_{\\mathcal{A}}^{\\ast}(\\mathcal{H})$",
  "authors": [
    "Mohamed Rossafi",
    "Samir Kabbaj"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we firstly give a characterization of operator frame for $End_{\\mathcal{A}}^{\\ast}(\\mathcal{H})$ and $K$-operator frames for $End_{\\mathcal{A}}^{\\ast}(\\mathcal{H})$. Lastly we consider the stability of operator frame for $End_{\\mathcal{A}}^{\\ast}(\\mathcal{H})$ and $K$-operator frames for $End_{\\mathcal{A}}^{\\ast}(\\mathcal{H})$ under perturbation and we establish some results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-01T22:51:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46L05"
    ],
    "keywords": [
      "operator frame",
      "perturbation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}