Triple reverse order law for Moore-Penrose inverse of operator product

被引：0

作者：

Xiong, Zhiping ^{[1
]}

Qin, Yingying ^{[1
]}

机构：

[1] Wuyi Univ, Sch Math & Computat Sci, Hangmen 529020, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 08期

关键词：

Moore-Penrose inverse; Reverse order law; Bounded linear operator; Operator product; Hilbert space; GENERALIZED INVERSES; CLOSED RANGE; BANACH;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study the reverse order law for the Moore-Penrose inverse of an operator product T1T2T3. In particular, using the matrix form of a bounded linear operator we derive some necessary and su cient conditions for the reverse order law (T1T2T3)(dagger) = (T3T2T1 dagger)-T-dagger-T-dagger. Moreover, some nite dimensional results are extended to in nite dimensional settings.

引用

页码：1347 / 1358

页数：12

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