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More on geometry of Krein space C-numerical range

Author

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  • Guterman, Alexander
  • Lemos, Rute
  • Soares, Graça

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.

Suggested Citation

  • Guterman, Alexander & Lemos, Rute & Soares, Graça, 2019. "More on geometry of Krein space C-numerical range," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 258-269.
    • Handle: RePEc:eee:apmaco:v:352:y:2019:i:c:p:258-269
    DOI: 10.1016/j.amc.2019.01.029
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    References listed on IDEAS

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    1. Guterman, Alexander & Lemos, Rute & Soares, Graça, 2016. "On the C-determinantal range for special classes of matrices," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 86-94.
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