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.
Recommended Citation
P. Zemanek and S. L. Clark, "Characterization of Self-Adjoint Extensions for Discrete Symplectic Systems," Journal of Mathematical Analysis and Applications, vol. 440, no. 1, pp. 323 - 350, Elsevier, Aug 2016.
The definitive version is available at https://doi.org/10.1016/j.jmaa.2016.03.028
Department(s)
Mathematics and Statistics
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.
Publication Date
01 Aug 2016
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.