Adamyan, Vadim and Langer, Heinz and Mennicken, Reinhard and Saurer, Josef (1996) Spectral components of selfadjoint block operator matrices with unbounded entries. MATHEMATISCHE NACHRICHTEN, 178 (1). pp. 43-80. ISSN 0025-584X, 1522-2616
Full text not available from this repository.Abstract
This paper is devoted to the study of the spectral components of selfadjoint operator matrices which are generated by symmetric operator matrices of the form [GRAPHICS] in the product Hilbert space H-1 x H-2 where the entries A, B and C are not necessarily bounded operators in the Hilbert spaces H-1, H-2 or between them, respectively. Under suitable assumptions a selfadjoint operator L is associated with L(0) and the spectral properties of L are studied. The main result concerns the case in which the spectra of the selfadjoint operators A and C are weakly separated. If alpha is a real number such that max sigma(C) less than or equal to alpha less than or equal to min sigma(A), descriptions of the spectral subspaces of L corresponding to the intervals] - infinity, alpha] and ]alpha, infinity[ and of the restrictions of L to these subspaces are given. From this main result half range completeness and basis properties for certain parts of the spectrum of L are deduced. The paper closes with two applications to systems of differential operators from magnetohydrodynamics.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | selfadjoint operator matrices; angular representation; half range completeness; matrix differential operators |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Nov 2023 08:00 |
| Last Modified: | 15 Nov 2023 08:00 |
| URI: | https://pred.uni-regensburg.de/id/eprint/52107 |
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