Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces

DOI10.1016/j.jmaa.2013.07.038zbMath1306.47051OpenAlexW2029548289MaRDI QIDQ2257769

Yuming Shi, Yan Liu, Chunmei Shao

Publication date: 2 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.07.038

zbMATH Keywords

linear relationnorm resolvent convergencestrong resolvent convergenceself-adjoint subspacespectral inclusionspectral exactness

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (13)

Relatively bounded perturbations of a closed linear relation and its adjoint ⋮ Stability of deficiency indices of Hermitian subspaces under relatively bounded perturbations ⋮ Perturbations of spectra of closed subspaces in Banach spaces ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint ⋮ On the solitary waves for anisotropic nonlinear Schrödinger models on the plane ⋮ Some results concerning the linear relations which are adjoint to each other ⋮ Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations ⋮ Regular approximations of spectra of singular second-order symmetric linear difference equations ⋮ Boundedness and closedness of linear relations ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ Essential spectra of self-adjoint relations under relatively compact perturbations ⋮ Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations

Cites Work

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• Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems
• Self-adjoint extensions for second-order symmetric linear difference equations
• Operational calculus of linear relations
• Eigenfunction expansions associated with pairs of ordinary differential expressions
• Self-adjoint extensions of symmetric subspaces
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• Self-adjoint subspace extensions of nondensely defined symmetric operators
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Approximation of isolated eigenvalues of general singular ordinary differential operators
• Spectral properties of self-adjoint subspaces
• On generalized resolvents of Hermitian relations in Krein spaces
• Regular approximations of singular Sturm-Liouville problems
• Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems
• Monotone convergence theorems for semi-bounded operators and forms with applications
• Componentwise and Cartesian decompositions of linear relations
• On the approximation of isolated eigenvalues of ordinary differential operators
• Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems
• Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems
• Extension theory of formally normal and symmetric subspaces
• Applications of functional analysis and operator theory

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