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https://hdl.handle.net/10316/4624| Title: | Inequalities for J-Hermitian matrices | Authors: | Bebiano, N. Nakazato, H. Providência, J. da Lemos, R. Soares, G. |
Keywords: | Indefinite inner product; J-Hermitian matrix; J,C-numerical range; Rayleigh-Ritz theorem; Ky Fan maximum principle; Schur's majorization theorem | Issue Date: | 2005 | Citation: | Linear Algebra and its Applications. 407:(2005) 125-139 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/4624 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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| file91a795e624234b10b6492f8a980501fc.pdf | 269 kB | Adobe PDF | View/Open |
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