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

arXiv:1801.05169 · doi:10.1007/978-3-319-75996-8_19

Abstract

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.

15 pages, 6 figures, minor corrections; published in Böttcher A., Potts D., Stollmann P., Wenzel D. (eds), The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol 268. Birkhäuser, Cham, 2018; pp 367--380