Hardt, Volker and Konstantinov, Alexei and Mennicken, Reinhard (2000) On the spectrum of the product of closed operators. MATHEMATISCHE NACHRICHTEN, 215. pp. 91-102. ISSN 0025-584X
Full text not available from this repository.Abstract
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 commutation relation <(A(BA - lambda)(-1) B)over bar>-lambda(AB-lambda)(-1) = 1 for lambda is an element of rho(AB)\{0}. Further, we prove statements concerning the relationship between the spectra of the operator AB and the block operator matrix ((0)(A)(B)(0)).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMMUTATION; spectrum; closed operators; block operator matrices |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 May 2022 09:29 |
| Last Modified: | 31 May 2022 09:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43032 |
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