关于离散辛系统：相关的极大和极小线性关系和非齐次问题
On discrete symplectic systems: Associated maximal and minimal linear relations and nonhomogeneous problems
摘要：
本文刻画了离散辛系统的确定性，研究了一类非齐次离散辛系统，并引入了与这些系统相联系的最小和最大线性关系。相应的亏指数，包括平方和的解决方案和缺陷子空间的维数之间的关系的基本性质，也来自。此外，还给出了与辛系统相关的稠定算子存在的充分条件。
英文摘要：
In this paper we characterize the definiteness of the discrete symplectic system, study a nonhomogeneous discrete symplectic system, and introduce the minimal and maximal linear relations associated with these systems. Fundamental properties of the corresponding deficiency indices, including a relationship between the number of square summable solutions and the dimension of the defect subspace, are also derived. Moreover, a sufficient condition for the existence of a densely defined operator associated with the symplectic system is provided.
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