有界线性算子和的Drazin逆表示

发布时间：2018-03-20 14:36

  本文选题：Drazin逆　切入点：预解式　出处：《数学学报(中文版)》2017年06期 　论文类型：期刊论文

【摘要】：本文讨论了两个有界线性算子和的Drazin可逆性及其表达式.在PQ~3=0,P~2Q=0,QPQ~2=0的条件下,采用预解式的Laurent展开方法,证明了P+Q是Drazin可逆的,并得到了P+Q的Drazin逆的表达式.同时,还确定出P+Q的指标的范围ind(P+Q)≤2t+r+s—1,给出数值算例说明结论的有效性.
[Abstract]:In this paper, we discuss the Drazin reversibility of the sum of two bounded linear operators and its expression. Under the condition of PQ ~ (3 / 0), PQ ~ (2) Q ~ (0) and Q ~ (2) Q ~ (2 +) ~ 0, we prove that PQ is Drazin reversible and obtain the expression of the Drazin inverse of PQ by using the resolvent Laurent expansion method. The range of the index of P Q (ind(P Q) 鈮，

本文编号：1639525