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https://hdl.handle.net/10316/4585
Title: | The J-numerical range of a J-Hermitian matrix and related inequalities | Authors: | Nakazato, Hiroshi Bebiano, Natália Providência, João da |
Keywords: | Krein space; J-numerical range; J-Hermitian matrix | Issue Date: | 2008 | Citation: | Linear Algebra and its Applications. 428:11-12 (2008) 2995-3014 | Abstract: | Recently, indefinite versions of classical inequalities of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices have been obtained for J-Hermitian matrices that are J-unitarily diagonalizable, J=Ir[circle plus operator](-Is),r,s>0. The inequalities were obtained in the context of the theory of numerical ranges of operators on indefinite inner product spaces. In this paper, the subject is revisited, relaxing the constraint of the matrices being J-unitarily diagonalizable. | URI: | https://hdl.handle.net/10316/4585 | DOI: | 10.1016/j.laa.2008.01.027 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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