Self-adjoint extensions for discrete linear Hamiltonian systems

DOI10.1016/j.laa.2014.04.016zbMath1291.39018OpenAlexW1981203594MaRDI QIDQ2451696

Yuming Shi, Guojing Ren

Publication date: 4 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.04.016

zbMATH Keywords

self-adjoint extensionlimit circle caselimit point casedefect indexdiscrete linear Hamiltonian system

Mathematics Subject Classification ID

Related Items (17)

Characterization of self-adjoint extensions for discrete symplectic systems ⋮ Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ Relatively bounded perturbations of a closed linear relation and its adjoint ⋮ The positive and negative deficiency indices of formally self-adjoint difference equations ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ A note on eigenvalues of a class of singular continuous and discrete linear Hamiltonian systems ⋮ Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint ⋮ Relationships between perturbations of a linear relation and its operator part ⋮ On the maximal subspaces of discrete Hamiltonian systems ⋮ Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations ⋮ Boundedness and closedness of linear relations ⋮ Homoclinic orbits of a class of second-order difference equations ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ Essential spectra of self-adjoint relations under relatively compact perturbations ⋮ Defect index of the square of a formally self-adjoint second-order difference expression ⋮ \(J\)-self-adjoint extensions for a class of discrete linear Hamiltonian systems

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