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Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators

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Abstract

We consider productsC=AB of Hermitian operators in ann-dimensional unitary space. Two equivalent localization theorems are proved in the case where one of the factorsA andB is positive definite.

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Authors
  1. P. A. Shvartsman
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Additional information

Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 7, pp. 980–988, July, 1999.

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Shvartsman, P.A. Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators. Ukr Math J 51, 1105–1114 (1999). https://doi.org/10.1007/BF02592045

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  • DOI: https://doi.org/10.1007/BF02592045

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