{
  "id": "1304.2684",
  "version": "v2",
  "published": "2013-04-09T18:12:18.000Z",
  "updated": "2013-05-15T18:14:39.000Z",
  "title": "Operators That Attain their Minima",
  "authors": [
    "Xavier Carvajal",
    "Wladimir Neves"
  ],
  "comment": "18 pages. arXiv admin note: substantial text overlap with arXiv:1007.1477",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study the theory of operators on complex Hilbert spaces, which attain their minimum in the unit sphere. We prove some important results concerning the characterization of the N*, and also AN* operators, see respectively Definition 1.1 and Definition 1.3. The injective property plays an important role in these operators, and shall be established by these classes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-15T18:14:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex hilbert spaces",
      "injective property plays",
      "important role",
      "unit sphere",
      "important results concerning"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.2684C"
    }
  }
}