{
  "id": "1007.1477",
  "version": "v2",
  "published": "2010-07-08T21:54:36.000Z",
  "updated": "2010-11-24T19:09:49.000Z",
  "title": "Operators that achieve the norm",
  "authors": [
    "Xavier Carvajal",
    "Wladimir Neves"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study the theory of operators on complex Hilbert spaces, which achieve the norm in the unit sphere. We prove important results concerning the characterization of the AN operators, see Definition 1.2. The class of AN operators contains the algebra of the compact ones.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-24T19:09:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex hilbert spaces",
      "unit sphere",
      "operators contains",
      "important results concerning",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.1477C"
    }
  }
}