• Title of article

    Cartesian decomposition of matrices and some norm inequalities

  • Author/Authors

    Aghamollaei, Gholamreza Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - Kerman, Islamic Republic of Iran , Sheikhhosseinia, Alemeh Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - Kerman, Islamic Republic of Iran

  • Pages
    10
  • From page
    33
  • To page
    42
  • Abstract
    Let X be an n-square complex matrix with the Cartesian decomposition X = A + iB, where A and B are n n Hermitian matrices. It is known that ∥X∥2 p 2(∥A∥2 p + ∥B∥2 p), where p 2 and ∥:∥p is the Schatten p􀀀norm. In this paper, this inequality and some of its improvements are studied and investigated for the joint C-numerical radius, joint spectral radius, and for the C-spectral norm of matrices.
  • Keywords
    C- spectral norm , joint C - numerical radius
  • Journal title
    Astroparticle Physics
  • Serial Year
    2016
  • Record number

    2450862

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2450862