Inequalities for J-Hermitian matrices

• Author(s): Bebiano, N. ; Nakazato, H. ; Providência, J. da ; Lemos, R. ; Soares, G.
• Date: 2005
• Persistent ID: http://hdl.handle.net/10316/4624
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Indefinite inner product; J-Hermitian matrix; J,C-numerical range; Rayleigh-Ritz theorem; Ky Fan maximum principle; Schur's majorization theorem
• Document Type: Article
• Language: English

Description

Indefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices are stated to J-Hermitian matrices, J = Ir [circle plus operator] -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. http://www.sciencedirect.com/science/article/B6V0R-4GRHD6K-4/1/11966817c694959574b40cb136787155