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

  • P. A. Shvartsman

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.
Published
25.07.1999
How to Cite
ShvartsmanP. A. “Generalization of the Lidskii Theorem on the Localization of the Spectrum of a Product of Hermitian Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 7, July 1999, pp. 980–988, https://umj.imath.kiev.ua/index.php/umj/article/view/4687.
Section
Research articles