Spectrum of definite type of self-adjoint operators in Krein spaces

DOI10.1080/03081080500055049zbMath1079.47040OpenAlexW2034569586WikidataQ124629997 ScholiaQ124629997MaRDI QIDQ4682119

Matthias Langer, Christiane Tretter, Alexander Markus, Heinz K. Langer

Publication date: 9 June 2005

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080500055049

zbMATH Keywords

Schur complementspectral subspacesdefect subspacesangular representationKrein block operator matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15) Linear operators on spaces with an indefinite metric (47B50)

Related Items

Spectrum of J-frame operators ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ Spectral enclosures for some unbounded \(n\times n\) operator matrices ⋮ The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities ⋮ Self-adjoint analytic operator functions and their local spectral function ⋮ Triple variational principles for self-adjoint operator functions ⋮ Spectral enclosures for a class of block operator matrices

Cites Work

• The spectral properties of a certain class of self-adjoint operator functions
• Locally definite operators in indefinite inner product spaces
• Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements.
• Variational principles for eigenvalues of self-adjoint operator functions
• Variational principles for eigenvalues of block operator matrices
• Triple Variational Principles for Eigenvalues of Self-Adjoint Operators and Operator Functions
• Spectral Decomposition of Symmetric Operator Matrices
• A new concept for block operator matrices: The quadratic numerical range