1. Spectral problems for operator matrices
- Author
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Bátkai, A., Binding, P., Dijksma, A., Hryniv, R., Langer, H., and Systems, Control and Applied Analysis
- Subjects
essential spectrum ,SEMIGROUPS ,elliptic equation ,General Mathematics ,010102 general mathematics ,holomorphic semigroup ,operator matrix ,PARTIAL-DIFFERENTIAL EQUATIONS ,BOUNDARY-CONDITIONS ,01 natural sciences ,Sturm-Liouville problem ,010101 applied mathematics ,EIGENVALUES ,0101 mathematics ,closability ,delay equation - Abstract
We study spectral properties of 2 × 2 block operator matrices whose entries are unbounded operators between Banach spaces and with domains consisting of vectors satisfying certain relations between their components. We investigate closability in the product space, essential spectra and generation of holomorphic semigroups. Application is given to several models governed by ordinary and partial differential equations, for example containing delays, floating singularities or eigenvalue dependent boundary conditions.
- Published
- 2005