TITLE:
Mixed-Type Reverse Order Laws for Generalized Inverses over Hilbert Space
AUTHORS:
Haiyan Zhang, Fengling Lu
KEYWORDS:
{1, 2, 3}-Reverse, {1, 3, 4}-Reverse, Reverse Order Law, Block-Operator Matrix
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.5,
May
22,
2017
ABSTRACT: In this paper, by using a block-operator matrix technique, we study mixed-type reverse order laws for {1,3}-, {1,2,3}- and {1,3,4}-generalized inverses over Hilbert spaces. It is shown that and when the ranges of are closed. Moreover, a new equivalent condition of is given.