Inequalities for J-Hermitian matrices

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 con...

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Bibliographic Details
Main Author: Bebiano, N. (author)
Other Authors: Nakazato, H. (author), Da Providência, J. (author), Lemos, R. (author), Soares, G. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Indefinite inner product
J,C-numerical range
J-Hermitian matrix
Ky Fan maximum principle
Rayleigh-Ritz theorem
Schur's majorization theorem
Online Access:http://hdl.handle.net/10773/6061
Country:Portugal
Oai:oai:ria.ua.pt:10773/6061
Description
Summary: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. © 2005 Elsevier Inc. All rights reserved.

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