20 citations · 59 across the 17 of their papers we have counts for
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Invariance of deficiency indices of Hermitian subspaces under relatively bounded perturbations
Yan Liu, Yuming Shi
This paper is concerned with the stability of deficiency indices of Hermitian subspaces (i.e., linear relations) under relatively bounded perturbations in Hilbert spaces. Several r…
Trace class perturbation of closed linear relations
Yuming Shi, Yan Liu
This paper studies trace class perturbation of closed linear relations in Hilbert spaces. The concept of trace class perturbation of closed relations is introduced by orthogonal pr…
Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint?
Yan Liu, Yuming Shi
This paper is concerned with regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint. For any given self-adjoint subspace exten…
Inequalities among eigenvalues of different self-adjoint discrete Sturm-Liouville problems
Hao Zhu, Yuming Shi
In this paper, inequalities among eigenvalues of different self-adjoint discrete Sturm-Liouville problems are established. For a fixed discrete Sturm-Liouville equation, inequaliti…
Continuous Dependence of the n-th Eigenvalue on Self-adjoint Discrete Sturm-Liouville Problem
Hao Zhu, Yuming Shi
This paper is concerned with continuous dependence of the n-th eigenvalue on self-adjoint discrete Sturm-Liouville problems. The n-th eigenvalue is considered as a function in the…
Dependence of Discrete Sturm-Liouville Eigenvalues on Problems
Hao Zhu, Shurong Sun, Yuming Shi +1
This paper is concerned with dependence of discrete Sturm-Liouville eigenvalues on problems. Topologies and geometric structures on various spaces of such problems are firstly intr…