{
  "id": "1209.1767",
  "version": "v2",
  "published": "2012-09-09T01:34:24.000Z",
  "updated": "2012-09-19T09:05:51.000Z",
  "title": "Perturbation analysis of $A_{T,S}^{(2)}$ on Hilbert spaces",
  "authors": [
    "Fapeng Du",
    "Yifeng Xue"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NA",
    "math.FA"
  ],
  "abstract": "In this paper, we investigate the perturbation analysis of $A_{T,S}^{(2)}$ when $T,\\,S$ and $A$ have some small perturbations on Hilbert spaces. We present the conditions that make the perturbation of $A_{T,S}^{(2)}$ is stable. The explicit representation for the perturbation of $A_{T,S}^{(2)}$ and the perturbation bounds are also obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-19T09:05:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A09",
      "47A55"
    ],
    "keywords": [
      "hilbert spaces",
      "perturbation analysis",
      "small perturbations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.1767D"
    }
  }
}