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
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
Journal title :
Linear Algebra and its Applications
