scholarly journals Generalizations of the reverse order law with related results

1974 ◽  
Vol 8 (4) ◽  
pp. 345-349 ◽  
Author(s):  
David T. Barwick ◽  
Jimmie D. Gilbert
Keyword(s):  
Reverse Order ◽  
Reverse Order Law

Mixed-type reverse order law and its equivalents

2011 ◽  
Vol 204 (2) ◽  
pp. 123-136 ◽  
Author(s):  
Nebojša Č. Dinčić ◽  
Dragan S. Djordjević ◽  
Dijana Mosić
Keyword(s):  
Mixed Type ◽  
Reverse Order ◽  
Reverse Order Law

A comment on some recent results concerning the reverse order law for {1,3,4}-inverses

2010 ◽  
Vol 217 (1) ◽  
pp. 105-109 ◽  
Author(s):  
Dragana S. Cvetković-Ilić ◽  
Vladimir Pavlović
Keyword(s):  
Reverse Order ◽  
Reverse Order Law

On the group invertibility of operators

2016 ◽  
Vol 31 ◽  
pp. 492-510
Author(s):  
Chunyuan Deng
Keyword(s):  
Hilbert Spaces ◽  
Main Topic ◽  
Reverse Order ◽  
Operator Matrices ◽  
Reverse Order Law ◽  
Block Operator ◽  
Block Operator Matrices ◽  
Group Inverses ◽  
Triangular Block ◽  
Equivalent Conditions

The main topic of this paper is the group invertibility of operators in Hilbert spaces. Conditions for the existence of the group inverses of products of two operators and the group invertibility of anti-triangular block operator matrices are studied. The equivalent conditions related to the reverse order law for the group inverses of operators are obtained.

Reverse order law for the group inverse in rings

2012 ◽  
Vol 219 (5) ◽  
pp. 2526-2534 ◽  
Author(s):  
Dijana Mosić ◽  
Dragan S. Djordjević
Keyword(s):  
Reverse Order ◽  
Group Inverse ◽  
Reverse Order Law
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