Hilbert空间中线性算子的Bott-Duffin逆  

THE BOTT-DUFFIN INVERSE OF LINEAROPERATORS IN HILBERT SPACE

作　　者：李智华[1] 王玉文[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2002年第3期4-9,共6页Natural Science Journal of Harbin Normal University

摘　　要：本文将 R.Bott与 R. J. Duffin所引入的 n阶矩阵 A的 Bott-Duffin逆的概念推广到 Hilbert空间中线性算子 ,给出 Bott-Duffin逆存在的充要条件 ,研究了In this paper, the concept of Bott-Duffin inverses of n×n matrices, which was introduced by R. Bott. and R. J. Duffin, is extended to the linear operators in Hilbert space, we have given the sufficient and necessary conditions for the Bott-Duffin inverse to exist, and the properties of Bott-Duffin are investigated.

关 键 词：HILBERT空间 线性算子 BOTT-DUFFIN逆 电网络 约束算子方程 有界线性算子 

分 类 号：O177.1[理学—数学]