Spectral properties of unbounded J-self-adjoint matrices
arXiv:1410.1213 · doi:10.4171/JST/158
Abstract
We study the spectrum of unbounded J-self-adjoint block operator matrices. In particular, we prove enclosures for the spectrum, provide a sufficient 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.
To appear in the Journal of Spectral Theory
References in corpus (5)
- On the eigenvalues of operators with gaps. Application to Dirac operators
- Bounds on variation of spectral subspaces under J-self-adjoint perturbations
- Bounds on the spectrum and reducing subspaces of a J-self-adjoint operator
- Triple Variational Principles for Self-Adjoint Operator Functions
- Variational principles for self-adjoint operator functions arising from second-order systems