• Title of article

    Some results on higher numerical ranges and radii of quaternion matrices

  • Author/Authors

    Aghamollaei, Gh. Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Haj Aboutalebi, N. Department of Mathematics - Islamic Azad University, Shahrood Branch

  • Pages
    6
  • From page
    283
  • To page
    288
  • Abstract
    Let n and k be two positive integers, k ⩽ n and A be an n􀀀square quaternion matrix. In this paper, some results on the k􀀀numerical range of A are investigated. Moreover, the notions of k-numerical radius, right k-spectral radius and k-norm of A are introduced, and some of their algebraic properties are studied.
  • Keywords
    k-Numerical radius , right k-spectral radius , k-norm , quaternion matrices
  • Journal title
    Astroparticle Physics
  • Serial Year
    2015
  • Record number

    2443229