Mixed-type reverse-order laws for {1, 3, 4}-generalized inverses over Hilbert spaces

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• 作者：Xiaoji Liu^a ; ² ; ^{xiaojiliu72@yahoo.com.cn} ; Shaowu Huang^a ; ² ; ^{shaowu2050@126.com} ; Dragana S. Cvetkovi?-Ili?^b ; ¹ ; ^{gagamaka@ptt.rs} ; ^{dragana@pmf.ni.ac.rs}
• 关键词：Mixed-type ; Block-operator matrix ; Moore&ndash ; Penrose inverse ; Reverse order law ; {1 ;   ; 3 ;   ; 4}-inveses
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 出版时间：1 May, 2012
• 年：2012
• 卷：218
• 期：17
• 页码：8570-8577
• 全文大小：187 K

文摘

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.