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Spectral properties of unbounded JJ-self-adjoint block operator matrices
journal contribution
posted on 2023-06-09, 00:13 authored by Matthias Langer, Michael StraussWe study the spectrum of unbounded JJ -self-adjoint block operator matrices. In particular, we prove enclosures for the spectrum, provide a suffcient condition for the spectrum being real and derive variational principles for certain real eigenvalues even in the presence of non-real spectrum. The latter lead to lower and upper bounds and asymptotic estimates for eigenvalues.
History
Publication status
- Published
File Version
- Accepted version
Journal
Journal of Spectral TheoryISSN
1664-039XPublisher
European Mathematical SocietyExternal DOI
Issue
1Volume
7Page range
137-190Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes