1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.FA2024
Asymptotic stability of the spectra of generalized indefinite strings
Guixin Xu, Meirong Zhang, Zhe Zhou
This paper focuses on the asymptotic stability of the spectra of generalized indefinite strings (GISs). A unitarily equivalent linear relation is introduced for GISs. It is shown t…
math.SP2019
On the Second-order Frechet Derivatives of Eigenvalues of Sturm-Liouville Problems in Potentials
Shuyuan Guo, Guixin Xu, Meirong Zhang
The works of V. A. Vinokurov have shown that eigenvalues and normalized eigenfunctions of Sturm-Liouville problems are analytic in potentials, considered as mappings from the Lebes…
math.FA2016★ 1 cited
Boundedness and closedness of linear relations
Yuming Shi, Guixin Xu, Guojing Ren
This paper studies boundedness and closedness of linear relations, which include both single-valued and multi-valued linear operators. A new (single-valued) linear operator induced…