{
  "id": "2312.14319",
  "version": "v1",
  "published": "2023-12-21T22:13:48.000Z",
  "updated": "2023-12-21T22:13:48.000Z",
  "title": "Sum of $g-$frames in Hilbert $C^{\\ast}-$modules",
  "authors": [
    "Hafida Massit",
    "Abdelilah Karara",
    "Najib Khachiaa"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we establish some results regarding the stability of a $g-$frames for Hilbert $ C^{\\ast}- $modules under various types of perturbations and we provide new conditions under which the sum of a $g-$frame and a $g-$Bessel sequence is a $g-$frame for a Hilbert $C^{\\ast}- $modules $ \\mathcal{H} $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-21T22:13:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "41A58"
    ],
    "keywords": [
      "bessel sequence",
      "perturbations",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}