Characterization of self-adjoint extensions for discrete symplectic systems

Investor logo


This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on


Year of publication 2016
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Discrete symplectic system; linear relation; self-adjoint extension; Krein-von Neumann extension; uniqueness; limit point criterion
Attached files
Description 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 the classical limit point criterion for the second order Sturm--Liouville difference equations.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.