THE REVERSE ORDER LAW FOR MOORE-PENROSE INVERSES OF OPERATORS ON HILBERT C*-MODULES

被引：0

作者：

Sharifi, K. ^{[1
,2
]}

Bonakdar, B. A. ^{[3
]}

机构：

[1] Shahrood Univ Technol, Dept Math, POB 3619995161-316, Shahrood, Iran

[2] Univ Munster, Math Inst, Fachbereich Math & Informat, Einsteinstr 62, D-48149 Munster, Germany

[3] Int Campus Ferdowsi Univ, Dept Math, Mashhad, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 01期

关键词：

Bounded adjointable operator; Hilbert C*-module; Moore-Penrose inverse; reverse order law; PRODUCT; ALGEBRAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose T and S are bounded adjointable operators between Hilbert C*-modules admitting bounded Moore-Penrose inverse operators. Some necessary and sufficient conditions are given for the reverse order law (TS)(dagger) = (ST dagger)-T-dagger to hold. In particular, we show that the equality holds if and only if Ran(T*TS) subset of Ran(S) and Ran(SS*T*) subset of Ran(T*), which was studied first by Greville [SIAM Rev. 8 (1966) 518-521] for matrices.

引用

页码：53 / 60

页数：8

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