On the range of upper triangular relation matrices

DOI10.1080/03081087.2021.1926416OpenAlexW3161194250MaRDI QIDQ5870119

Ran Huo, Yanyan Du, Jun-Jie Huang

Publication date: 5 January 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1926416

zbMATH Keywords

spectrumrelation matrixclosedness of range

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear relations (multivalued linear operators) (47A06)

Related Items

Spectral property of upper triangular relation matrices, Fredholm properties of upper triangular matrices of relations, Essential spectra of upper triangular relation matrices

Cites Work

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• Left- and right-Atkinson linear relation matrices
• The structured distance to uncontrollability under multi-perturbations: an approach using multi-valued linear operators
• Operational calculus of linear relations
• Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
• The semi-Fredholmness of \(2\times 2\) operator matrices
• Closedness of ranges of upper-triangular operators
• Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces
• Quasilinear degenerate evolution equations in Banach spaces
• The structure of linear relations in Euclidean spaces
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Essential approximate point spectra for upper triangular matrix of linear relations
• On generalized Drazin invertible linear relations
• Closed range and Fredholm properties of upper-triangular operator matrices
• Dynamics of multivalued linear operators
• Self-adjoint perturbations of spectra for upper triangular operator matrices
• Spectral theory of linear relations on real Banach spaces
• Essential point spectra of operator matrices trough local spectral theory
• Browder spectra of upper triangular matrix linear relations
• The Kato decomposition of quasi-Fredholm relations
• Weyl spectra of operator matrices
• Weylness of 2 × 2 operator matrices
• Boundedness and closedness of linear relations
• The Cayley transform of linear relations
• Spectral property of upper triangular relation matrices
• On the essential spectra of some matrix of linear relations
• Spectral theory of linear operators and spectral systems in Banach algebras
• Multivalued Fredholm type operators with abstract generalized inverses