Mixed-type reverse-order laws for {1, 3, 4}-generalized inverses over Hilbert spaces
نویسندگان
چکیده
The reverse order laws for {1,3,4}-generalized inverses of a product of two operators have been studied by Wang et al. [J. Wang, H. Zhang, G. Ji, A generalized reverse order law for the products of two operators, Journal of Shaanxi Normal University, 38 (4) (2010), 13–17]. In this paper using a block-operator matrix technique we study mixed-type reverse-order laws for {1,3,4}-generalized inverses over Hilbert spaces. 2012 Elsevier Inc. All rights reserved.
منابع مشابه
Mixed-Type Reverse Order Laws for Generalized Inverses over Hilbert Space
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 ( ) ) { } ( ) ( ) ( )( ) { } 1,3 1,3 1,3 1,3 AB B ABB = and ( ) ) { } ( ) ( ) ( )( ) { } ( ) 1,2, 1,2, 1,2, 1,2, , 3, 4 i i i i AB B ABB i = = when the ranges of , , A B AB are closed. Moreover, a new equivale...
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 218 شماره
صفحات -
تاریخ انتشار 2012