Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements.

DOI10.1016/S0022-1236(02)00115-5zbMath1060.47004OpenAlexW1982932944MaRDI QIDQ1874699

Alexander Markus, Christiane Tretter, Vladimir Matsaev, Heinz K. Langer

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00115-5

zbMATH Keywords

linear operatorblock matrix operatorangular representationHilbert space adjointspectrum supporting subspace

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (16)

Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions ⋮ A new decomposition for multivalued 3 × 3 matrices ⋮ Essential spectra of upper triangular relation matrices ⋮ Perturbations of Fredholm linear relations in Banach spaces with application to \(3 \times 3\)-block matrices of linear relations ⋮ Some properties of upper triangular \(3\times 3\)-block matrices of linear relations ⋮ Frobenius-Schur factorization for multivalued \(2\times2\) matrices linear operator ⋮ On the essential spectra of some matrix of linear relations ⋮ Self-adjoint analytic operator functions and their local spectral function ⋮ Spectrum of definite type of self-adjoint operators in Krein spaces ⋮ Some decomposition for multivalued matrix pencils linear operator ⋮ Spectral estimates and basis properties for self-adjoint block operator matrices ⋮ A characterization of essential pseudospectra of the multivalued operator matrix ⋮ Triple variational principles for self-adjoint operator functions ⋮ Spectra of some block operator matrices and application to transport operators ⋮ Spectral properties for \(\gamma \)-diagonally dominant operator matrices using demicompactness classes and applications ⋮ A characterization of the essential spectra of \(2\times 2\) block matrices of linear relations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect
• On basis properties of selfadjoint operator functions
• ON THE BASIS PROPERTY FOR A CERTAIN PART OF THE EIGENVECTORS AND ASSOCIATED VECTORS OF A SELFADJOINT OPERATOR PENCIL
• Variational principles for eigenvalues of block operator matrices
• Spectral Decomposition of Symmetric Operator Matrices
• A new concept for block operator matrices: The quadratic numerical range

This page was built for publication: Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements.