{
  "id": "2010.02464",
  "version": "v1",
  "published": "2020-10-06T04:11:22.000Z",
  "updated": "2020-10-06T04:11:22.000Z",
  "title": "Buzano, Kreĭn and Cauchy-Schwarz inequalities",
  "authors": [
    "Mohammad Sababheh",
    "Hamid Reza Moradi",
    "Zahra Heydarbeygi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The Cauchy-Schwarz, Buzano and Kre\\u{i}n inequalities are three inequalities about inner product. The main goal of this article is to present refinements of Buzano and Cauchy-Schwarz inequalities, and to present a new proof of a refined version of a Kre\\u{i}n-type inequality. Applications that include Buzano-type inequalities for contractions, operator norm and numerical radius inequalities of Hilbert space operators will be presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-06T04:11:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inequality",
      "cauchy-schwarz inequalities",
      "hilbert space operators",
      "main goal",
      "numerical radius inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}