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|title: ||Inequalities for J-Hermitian matrices|
|authors: ||Bebiano, N.|
Da Providência, J.
|keywords: ||Indefinite inner product|
Ky Fan maximum principle
Schur's majorization theorem
|issue date: ||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 ⊕ -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.|
|publisher version/DOI: ||dx.doi.org/10.1016/j.laa.2005.05.021|
|source: ||Linear Algebra and Its Applications|
|appears in collections||MAT - Artigos|
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