A Sturmian separation theorem for symplectic difference systems

详细信息	查看全文 | 推荐本文 |

• 作者：Ondř ; ej Do&#x161 ; lý ; and Werner Kratz
• 关键词：Symplectic difference system ; Discrete quadratic functional ; Focal point ; Conjoined basis ; Separation theorem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2007
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：1 January 2007
• 卷：325
• 期：1
• 页码：333-341
• 文件大小：139 K

摘要

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 doc=25&_handle=V-WA-A-W-CE-MsSAYWW-UUW-U-AAZCWUYCVZ-AAZWDYEBVZ-VAEVBVZD-CE-U&_acct=C000050221&_version=1&_userid=10&md5=e26eea56af90913f01c6b9dce63cdff7" title="Click to view the MathML source">(0,N+1] implies that any other conjoined basis has at most n focal points (counting multiplicities) in this interval.