{
  "id": "1811.02772",
  "version": "v1",
  "published": "2018-11-07T06:01:03.000Z",
  "updated": "2018-11-07T06:01:03.000Z",
  "title": "Approximate Birkhoff-James orthogonality and smoothness in the space of bounded linear operators",
  "authors": [
    "Arpita Mal",
    "Kallol Paul",
    "T. S. S. R. K. Rao",
    "Debmalya Sain"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study approximate Birkhoff-James orthogonality of bounded linear operators defined between normed linear spaces $\\mathbb{X}$ and $\\mathbb{Y}.$ As an application of the results obtained, we characterize smoothness of a bounded linear operator $T$ under the condition that $\\mathbb{K}(\\mathbb{X},\\mathbb{Y}),$ the space of compact linear operators is an $M-$ideal in $\\mathbb{L}(\\mathbb{X},\\mathbb{Y}),$ the space of bounded linear operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-07T06:01:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B28",
      "47L05",
      "46B20"
    ],
    "keywords": [
      "bounded linear operator",
      "smoothness",
      "study approximate birkhoff-james orthogonality",
      "compact linear operators",
      "normed linear spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}