Publication details

Characterization of self-adjoint extensions for discrete symplectic systems

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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
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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.
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