{
  "id": "1207.1776",
  "version": "v1",
  "published": "2012-07-07T08:05:42.000Z",
  "updated": "2012-07-07T08:05:42.000Z",
  "title": "Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces",
  "authors": [
    "Fapeng Du",
    "Yifeng Xue"
  ],
  "comment": "13 pages, Electronic Journal of Linear Algebra (accepted)",
  "categories": [
    "math.NA",
    "math.SP"
  ],
  "abstract": "In this paper, the perturbation problems of $A_{T,S}^{(2)}$ are considered. By virtue of the gap between subspaces, we derive the conditions that make the perturbation of $A_{T,S}^{(2)}$ is stable when $T,S$ and $A$ have suitable perturbations. At the same time, the explicit formulas for perturbation of $A_{T,S}^{(2)}$ and new results on perturbation bounds are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-07T08:05:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A09",
      "47A55"
    ],
    "keywords": [
      "banach spaces",
      "perturbation analysis",
      "perturbation problems",
      "explicit formulas",
      "perturbation bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.1776D"
    }
  }
}