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

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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Bibliographic Details
Date:1999
Main Authors: Shvartsman, P. A., Шварцман, П. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4687
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal