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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 a Stephen L. CLARK. Characterization of self-adjoint extensions for discrete symplectic systems. \textit{Journal of Mathematical Analysis and Applications}. San Diego: Elsevier, 2016, roč.~440, č.~1, s.~323-350. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2016.03.028.
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