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@article{700010, author = {Došlý, Ondřej and Kratz, Werner}, article_number = {2}, keywords = {Symplectic difference system; discrete quadratic functional; focal point; conjoined basis; separation theorem}, language = {eng}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, title = {A Sturmian separation theorem for symplectic difference systems}, volume = {325}, year = {2007} }
TY - JOUR ID - 700010 AU - Došlý, Ondřej - Kratz, Werner PY - 2007 TI - A Sturmian separation theorem for symplectic difference systems JF - J. Math. Anal. Appl. VL - 325 IS - 2 SP - 333-341 EP - 333-341 SN - 0022247X KW - Symplectic difference system KW - discrete quadratic functional KW - focal point KW - conjoined basis KW - separation theorem N2 - We establish a Sturmian separation theorem for conjoined bases of 2n-dimensional symplectic difference systems. In particular, we show that the existence of a conjoined basis without focal points in a discrete interval (0,N+1] implies that any other conjoined basis has at most n focal points (counting multiplicities) in this interval. ER -
DOŠLÝ, Ondřej a Werner KRATZ. A Sturmian separation theorem for symplectic difference systems. \textit{J. Math. Anal. Appl.}. 2007, roč.~325, č.~2, s.~333-341. ISSN~0022-247X.
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