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http://hdl.handle.net/10773/6061| Title: | Inequalities for J-Hermitian matrices |
| Author: | 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. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/6061 |
| DOI: | 10.1016/j.laa.2005.05.021 |
| ISSN: | 0024-3795 |
| Appears in Collections: | DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Ineq J-Hermitian LAA 2005.pdf | 269 kB | Adobe PDF |  |
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