• Title of article

    Inequalities for J-Hermitian matrices Original Research Article

  • Author/Authors

    N. Bebiano، نويسنده , , H. Nakazato، نويسنده , , J. da Providência، نويسنده , , R. Lemos، نويسنده , , G. Soares، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    15
  • From page
    125
  • To page
    139
  • Abstract
    Indefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices are stated to J-Hermitian matrices, J = Ir circled plus −In − r, 0 < r < n). Spectral inequalities for the trace of the product of J-Hermitian matrices are presented. The inequalities are obtained in the context of the theory of numerical ranges of linear operators on indefinite inner product spaces.
  • Keywords
    Indefinite inner product , J-Hermitian matrix , Rayleigh-Ritz theorem , c-Numerical range , Ky Fan maximum principle , Schur’s majorization theorem , J
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2005
  • Journal title
    Linear Algebra and its Applications
  • Record number

    824933