Kraus, Margarita and Langer, Matthias and Tretter, Christiane (2004) Variational principles and eigenvalue estimates for unbounded block operator matrices and applications. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 171 (1-2). pp. 311-334. ISSN 0377-0427,
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In this paper we establish variational principles, eigenvalue estimates and asymptotic formulae for eigenvalues of three different classes of unbounded block operator matrices. The results allow to characterise eigenvalues that are not necessarily located at the boundary of the spectrum. Applications to an example from magnetohydrodynamics and to Dirac operators on certain manifolds are given. (C) 2004 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIRAC OPERATORS; MANIFOLDS; SPECTRUM; SYMMETRY; GAPS; variational principle for eigenvalues; estimates for eigenvalues; asymptotic distribution of eigenvalues; quadratic numerical range; magnetohydrodynamics; warped product of spin manifolds; Dirac operator |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Jun 2021 09:04 |
| Last Modified: | 28 Jun 2021 09:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/37134 |
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