摘要
该文推广了邓彬和陈果良在文献[7]中所得的关于矩阵的广义Bott-Duffin逆的若干结果.基于算子的空间分解理论,证明了这些结果对无穷维希尔伯特空间上的有界线性算子也是成立的.值得指出的是该文所用的数学思想和方法与文献[7]中所用的方法是完全不同的.
In this note,two theorems involving generalized Bott-Duffin inverses of bounded linear operators on a Hilbert space are proved,which are generalizations of that obtained in a finite dimensional space by Deng and Chen.It is worthwhile to point out that the idea and the method used in this note are different from those used by Deng and Chen.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2011年第4期1071-1076,共6页
Acta Mathematica Scientia
基金
国家自然科学基金(10871224)资助