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

✍ Scribed by P. A. Shvartsman


Book ID
110573115
Publisher
Springer
Year
1999
Tongue
English
Weight
529 KB
Volume
51
Category
Article
ISSN
0041-5995

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In this note we study the connection between the spectra of the products AB and BA of unbounded closed operators A and B acting in Banach spaces. Under the condition that the resolvent sets of these products are not empty we show that the spectra of AB and BA coincide away from zero and prove the co