{
  "id": "2106.09092",
  "version": "v1",
  "published": "2021-06-16T19:33:32.000Z",
  "updated": "2021-06-16T19:33:32.000Z",
  "title": "Norm inequalities for the spectral spread of Hermitian operators",
  "authors": [
    "Pedro Massey",
    "Demetrio Stojanoff",
    "Sebastian Zarate"
  ],
  "comment": "26 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this work we introduce a new measure of dispersion of the eigenvalues of a Hermitian (self-adjoint) compact operator, that we call spectral spread. Then, we obtain several inequalities for unitarily invariant norms involving the spectral spread of self-adjoint compact operators, that are related with Bhatia-Davis's and Corach-Porta-Recht's work on Arithmetic-Geometric mean inequalities, Zhan's inequality for the difference of positive compact operators, Tao's inequalities for anti-diagonal blocks of positive compact operators and Kittaneh's commutator inequalities for positive operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-16T19:33:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A30",
      "47B10",
      "47B15"
    ],
    "keywords": [
      "spectral spread",
      "inequality",
      "hermitian operators",
      "norm inequalities",
      "positive compact operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}