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http://hdl.handle.net/10773/27010
Title: | More on geometry of Krein space C-numerical range |
Author: | Guterman, Alexander Lemos, Rute Soares, Graça |
Keywords: | Krein space C-numerical range Indefininte inner product J-Hermitian matrix |
Issue Date: | 1-Jul-2019 |
Publisher: | Elsevier |
Abstract: | For n × n complex matrices A, C and H, where H is non-singular Hermitian, the Krein space C-numerical range of A induced by H is the subset of the complex plane given by {Tr(CU^[*]AU: U^{-1}= U^[*] )} with U^[*]=H^{-1}U*H the H-adjoint matrix of U. We revisit several results on the geometry of Krein space C-numerical range of A and in particular we obtain a condition for the Krein space C-numerical range to be a subset of the real line. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/27010 |
DOI: | 10.1016/j.amc.2019.01.029 |
ISSN: | 0096-3003 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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GutermanLemosSoares.pdf | 312.59 kB | Adobe PDF | View/Open |
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