More on geometry of Krein space C-numerical range

Alexander Guterman, Rute Lemos and Graça Soares

Applied Mathematics and Computation, 2019, vol. 352, issue C, 258-269

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−1U*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.

Keywords: Krein space C-numerical range; Indefininte inner product; J−Hermitian matrix (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:352:y:2019:i:c:p:258-269

DOI: 10.1016/j.amc.2019.01.029

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