Stability of essential spectra of self-adjoint subspaces under compact perturbations

DOI10.1016/j.jmaa.2015.08.017zbMath1325.47007arXiv1506.05544OpenAlexW2963722727MaRDI QIDQ499169

Yuming Shi

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05544

zbMATH Keywords

perturbationessential spectrumlinear relationself-adjoint subspace

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear relations (multivalued linear operators) (47A06)

Related Items (11)

Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ Stability of deficiency indices of Hermitian subspaces under relatively bounded perturbations ⋮ Perturbations of spectra of closed subspaces in Banach spaces ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ Necessary conditions for extended spectral decomposable multivalued linear operators ⋮ Relationships between perturbations of a linear relation and its operator part ⋮ Trace class perturbation of closed linear relations ⋮ Boundedness and closedness of linear relations ⋮ Essential spectra of self-adjoint relations under relatively compact perturbations ⋮ Perturbation theory for selfadjoint relations ⋮ On the stability of self-adjointness of linear relations

Cites Work

• Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems
• Self-adjoint extensions for second-order symmetric linear difference equations
• Essential spectra of linear relations
• Operational calculus of linear relations
• Eigenfunction expansions associated with pairs of ordinary differential expressions
• Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Spectral properties of self-adjoint subspaces
• Spectral properties of singular discrete linear Hamiltonian systems
• Spectral points of definite type and type π for linear operators and relations in Krein spaces
• Componentwise and Cartesian decompositions of linear relations
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