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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
DOI: 10.1016/j.amc.2019.01.029
ISSN: 0096-3003
Appears in Collections:CIDMA - Artigos
DMat - Artigos
OGTCG - Artigos

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