Abstract
We consider positive pseudo-Hermitian matrices and study properties of their eigenvalues. Our results are analogous to classical results about the eigenvalues of Hermitian matrices: Cauchy interlacing property, Laplace transform of orbital measures, Horn’s convexity theorem. We consider also Horn’s problem in the setting of pseudo-Hermitian matrices.
To the memory of Takaaki Nomura.
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Faraut, J. (2021). Eigenvalues of Positive Pseudo-Hermitian Matrices. In: Baklouti, A., Ishi, H. (eds) Geometric and Harmonic Analysis on Homogeneous Spaces and Applications . TJC 2019. Springer Proceedings in Mathematics & Statistics, vol 366. Springer, Cham. https://doi.org/10.1007/978-3-030-78346-4_4
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DOI: https://doi.org/10.1007/978-3-030-78346-4_4
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