伪逆算子的性质及其在框架理论中的应用  

The properties of pseudo-inverse operators and their applications in the frame theory

作　　者：陈涛[1] 陶常利[2] 

机构地区：[1]泰山学院数学与系统科学系,山东泰安271021 [2]山东科技大学信息学院,山东青岛266510

出　　处：《山东大学学报（工学版）》2008年第3期118-122,共5页Journal of Shandong University（Engineering Science）

摘　　要：给出了伪逆算子的运算性质及满射有界算子的伪逆算子的一种表示.然后把伪逆算子应用在框架理论中,同时给出了预框架算子的伪逆算子的矩阵表示.最后把伪逆算子应用在(非框架的)序列中.The operational properties of the pseudo-inverse operators were studied and one kind of the expression of pseudo-inverse operators was obtained. The operator was subjectively bounded in Hilbert space, and then the results were applied to the frame theory. The matrix expression of the pseudo-inverse operator concerning the pre-frame operator was provided, and finally the theory of pseudo-inverse operators to some non-frame sequences was developed.

关 键 词：框架 预框架算子 框架算子 伪逆算子 

分 类 号：O177.1[理学—数学]