Spectral properties of unbounded J-self-adjoint block operator matrices

Langer, Matthias and Strauss, Michael (2017) Spectral properties of unbounded J-self-adjoint block operator matrices. Journal of Spectral Theory, 7 (1). pp. 137-190. ISSN 1664-0403 (https://doi.org/10.4171/JST/158)

[thumbnail of Langer-Strauss-JST2015-spectral-properties-of-unbounded-J-self-adjoint-block-operator-matrices]
Preview
 Text. Filename: Langer_Strauss_JST2015_spectral_properties_of_unbounded_J_self_adjoint_block_operator_matrices.pdf
Accepted Author Manuscript
Download (468kB)| Preview

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.

ORCID iDs

Langer, Matthias ORCID logoORCID: https://orcid.org/0000-0001-8813-7914 and Strauss, Michael;
CORE (COnnecting REpositories)