{
  "id": "0907.2728",
  "version": "v2",
  "published": "2009-07-16T01:44:23.000Z",
  "updated": "2009-09-06T17:25:23.000Z",
  "title": "Unitary equivalence to a complex symmetric matrix: geometric criteria",
  "authors": [
    "Stephan Ramon Garcia",
    "Levon Balayan"
  ],
  "comment": "21 pages. Minor corrections. To appear in Operators and Matrices",
  "journal": "Operators and Matrices 4 (2010), No. 1, 53--76.",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenvalues is unitarily equivalent to a complex symmetric matrix. Equivalently, we characterize those matrices having distinct eigenvalues which lie in the unitary orbit of the complex symmetric matrices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-09-06T17:25:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A57",
      "47A30"
    ],
    "keywords": [
      "complex symmetric matrix",
      "unitary equivalence",
      "geometric criteria",
      "distinct eigenvalues",
      "complex symmetric matrices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.2728G"
    }
  }
}