算子广义正交问题的研究  

Study on the Generalized Orthogonal Problem of Operators

作　　者：孟姗姗 计东海 

机构地区：[1]哈尔滨理工大学理学院,黑龙江 哈尔滨

出　　处：《应用数学进展》2021年第12期4139-4142,共4页Advances in Applied Mathematics

摘　　要：本文研究考虑了在算子空间中矩阵作为算子的广义正交性,给出矩阵正交与迹之间的关系,并讨论了算子空间为内积空间的等价条件。In this paper, the generalized orthogonality of matrix as an operator in operator space is considered, the relationship between matrix orthogonality and trace is given, and the equivalent condition that operator space is inner product space is discussed.

关 键 词：算子空间 Birkhoff正交 矩阵 

分 类 号：O17[理学—数学]