Characterization of self-adjoint extensions for discrete symplectic systems
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2016.03.028 |
| 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. |
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