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@article{1338597,
author = {Zemánek, Petr and Clark, Stephen L.},
article_location = {San Diego},
article_number = {1},
doi = {http://dx.doi.org/10.1016/j.jmaa.2016.03.028},
keywords = {Discrete symplectic system; linear relation; self-adjoint extension; Krein-von Neumann extension; uniqueness; limit point criterion},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Characterization of self-adjoint extensions for discrete symplectic systems},
volume = {440},
year = {2016}
}
TY - JOUR
ID - 1338597
AU - Zemánek, Petr - Clark, Stephen L.
PY - 2016
TI - Characterization of self-adjoint extensions for discrete symplectic systems
JF - Journal of Mathematical Analysis and Applications
VL - 440
IS - 1
SP - 323-350
EP - 323-350
PB - Elsevier
SN - 0022247X
KW - Discrete symplectic system
KW - linear relation
KW - self-adjoint extension
KW - Krein-von Neumann extension
KW - uniqueness
KW - limit point criterion
N2 - 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.
ER -
ZEMÁNEK, Petr and Stephen L. CLARK. Characterization of self-adjoint extensions for discrete symplectic systems. \textit{Journal of Mathematical Analysis and Applications}. San Diego: Elsevier, 2016, vol.~440, No~1, p.~323-350. ISSN~0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2016.03.028.
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