Characterization of self-adjoint extensions for discrete symplectic systems
Spectral Theory
2016-08-30 v1
Abstract
All self-adjoint extensions of minimal linear relation associated with the discrete symplectic system are characterized. Especially, for the scalar case on a finite discrete interval some equivalent forms and the uniqueness of the given expression are discussed and the Krein--von Neumann extension is described explicitly. In addition, a limit point criterion for symplectic systems is established. The result partially generalizes even a classical limit point criterion for the second order Sturm--Liouville difference equations.
Cite
@article{arxiv.1608.07786,
title = {Characterization of self-adjoint extensions for discrete symplectic systems},
author = {Petr Zemánek and Stephen Clark},
journal= {arXiv preprint arXiv:1608.07786},
year = {2016}
}