Title

Characterization of Self-Adjoint Extensions for Discrete Symplectic Systems

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 the classical limit point criterion for the second order Sturm-Liouville difference equations.

Department(s)

Mathematics and Statistics

Comments

This work was supported by the Program of “Employment of Newly Graduated Doctors of Science for Scientific Excellence” (grant number CZ.1.07/2.3.00/30.0009) co-financed from European Social Fund and the state budget of the Czech Republic.

Keywords and Phrases

Discrete symplectic system; Krein-von Neumann extension; Limit point criterion; Linear relation; Self-adjoint extension; Uniqueness

International Standard Serial Number (ISSN)

0022-247X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 Elsevier, All rights reserved.

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