{
  "id": "2401.03678",
  "version": "v1",
  "published": "2024-01-08T06:01:04.000Z",
  "updated": "2024-01-08T06:01:04.000Z",
  "title": "$E$-$g$-frames",
  "authors": [
    "H. Hedayatirad",
    "T. L. Shateri"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In the present paper, we introduce the notion of $E$-$g$-frames for a separable Hilbert spaces $\\mathcal H$, where $E$ is an invertible infinite matrix mapping on the Hilbert space $\\mathop\\oplus\\limits_{n=1}^{\\infty}\\mathcal H_n$. We study some prperties of $E$-$g$-frames. First, we give a result concerning perturbation of $E$-$g$-frames and then use it to construct $E$-$g$-frames in separable Hilbert spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-08T06:01:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "54D55"
    ],
    "keywords": [
      "separable hilbert spaces",
      "result concerning perturbation",
      "invertible infinite matrix mapping"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}