缺项算子矩阵的压缩数值补  

Completions of Partial Operator Matrices to Numerical Contractions

作　　者：张秀玲[1] 

机构地区：[1]山西师范大学数学系

出　　处：《工程数学学报》1996年第4期99-102,共4页Chinese Journal of Engineering Mathematics

摘　　要：对给定的缺项算子矩阵Ａ？ＣＢ，给出存在算子Ｘ使补矩阵ＴＸ＝ＡＸＣＢ的数值半径ω（ＴＸ）不大于１的充分必要条件，并且刻画了使ω（ＴＸ）≤１所有可解的Ｘ。Give a partial matrix A? CB of operators, the necessary and sufficent conditions that there exists an operator X such that the numerical radius ω(T X) of the completion T X=AX CB is not greater than one are obtained, and all possible such X so that ω(T X) ≤1 are also characterized.

关 键 词：算子矩阵 希尔伯特空间 线性算子 压缩数值补 

分 类 号：O177.1[理学—数学]