A two-parameter eigenvalue problem for a class of block-operator matrices

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Ozturk, H. (2018) A two-parameter eigenvalue problem for a class of block-operator matrices. In: Böttcher, A., Potts, D., Stollmann, P. and Wenzel, D. (eds.) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268). Springer, Basel, pp. 367-380. ISBN 9783319759951 doi: 10.1007/978-3-319-75996-8_19

Abstract/Summary

We consider a symmetric block operator spectral problem with two spectral parameters. Under some reasonable restrictions, we state localisation theorems for the pair-eigenvalues and discuss relations to a class of non-self-adjoint spectral problems.