{
  "id": "1709.05225",
  "version": "v1",
  "published": "2017-09-15T14:12:43.000Z",
  "updated": "2017-09-15T14:12:43.000Z",
  "title": "Generalization of a Hadamard type inequality for permanents",
  "authors": [
    "Bero Roos"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique used in Carlen, Lieb and Loss (Methods and Applications of Analysis 13 (1) (2006) 1-17). We give an application to coefficients of products of linear forms and show some auxiliary inequalities, which might be of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-15T14:12:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A15",
      "15A45"
    ],
    "keywords": [
      "hadamard type inequality",
      "generalization",
      "complex square matrix",
      "non-trivial extension",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}