Du, Hongke; Shao, Chunfang; Xu, Junjian; Ji, Shufeng A note on the generalized Bott-Duffin inverses of linear operators. (Chinese. English summary) Zbl 1243.47001 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 4, 1071-1076 (2011). Summary: In this note, two theorems involving generalized Bott-Duffin inverses of bounded linear operators on a Hilbert space are proved, which are generalizations of that obtained in a finite-dimensional space by B. Deng and G.-L. Chen [Appl. Math. Lett. 20, No. 7, 746–750 (2007; Zbl 1137.15004)]. The idea and the method used in this note are different from those used by Deng and Chen. Cited in 1 Document MSC: 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Keywords:generalized inverse; Bott-Duffin inverse; operator matrix; idempotent Citations:Zbl 1137.15004 PDFBibTeX XMLCite \textit{H. Du} et al., Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 4, 1071--1076 (2011; Zbl 1243.47001)