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 Inequalities for J-Hermitian matrices
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6061

title: Inequalities for J-Hermitian matrices
authors: Bebiano, N.
Nakazato, H.
Da Providência, J.
Lemos, R.
Soares, G.
keywords: Indefinite inner product
J,C-numerical range
J-Hermitian matrix
Ky Fan maximum principle
Rayleigh-Ritz theorem
Schur's majorization theorem
issue date: 2005
publisher: Elsevier
abstract: 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.
URI: http://hdl.handle.net/10773/6061
ISSN: 0024-3795
publisher version/DOI: dx.doi.org/10.1016/j.laa.2005.05.021
source: Linear Algebra and Its Applications
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