Inequalities for J-Hermitian matrices
Data
2005
Título da revista
ISSN da revista
Título do Volume
Editora
Elsevier
Resumo
Indefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices are stated to J-Hermitian matrices, J = Ir ⊕ −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.
Descrição
Palavras-chave
Indefinite inner product , J-Hermitian matrix , J,C numerical range , Rayleigh-Ritz theore