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math.SP2019
On the stability of self-adjointness of linear relations
Yan Liu
This paper focuses on the stability of self-adjointness of linear relations under perturbations in Hilbert spaces. It is shown that a self-adjoint relation is still self-adjoint un…
math.SP2019
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…