Resolvent and spectrum for discrete symplectic systems in the limit point case

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Authors

ZEMÁNEK Petr

Year of publication 2022
Type Article in Periodical
Magazine / Source Linear Algebra and its Applications
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1016/j.laa.2021.11.001
Doi http://dx.doi.org/10.1016/j.laa.2021.11.001
Keywords Discrete symplectic system; Spectrum; Eigenvalue; Limit point case; M(?)-function
Description The spectrum of an arbitrary self-adjoint extension of the minimal linear relation associated with the discrete symplectic system in the limit point case is completely characterized by using the limiting Weyl–Titchmarsh M+(?) -function. Furthermore, a dependence of the spectrum on a boundary condition is investigated and, consequently, several results of the singular Sturmian theory are derived.
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