Shao, Chunfang; Tian, Lichao; Du, Hongke The expression of the generalized Bott-Duffin inverse of linear operators. (Chinese. English summary) Zbl 1174.15311 Basic Sci. J. Text. Univ. 21, No. 1, 48-51 (2008). Summary: In order to investigate the generalized Bott-Duffin inverse of \(A\) with respect to a closed subspace \(\mathcal{M}\) on a infinite dimensional Hilbert space, the technique of block operator matrix is applied, its representations and its property are investigated. The explicit representation of the generalized Bott-Duffin inverse of linear operators is given. MSC: 15A09 Theory of matrix inversion and generalized inverses 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Keywords:generalized Bott-Duffin inverse; Moore-Penrose inverse; operator matrix; Hilbert space PDFBibTeX XMLCite \textit{C. Shao} et al., Basic Sci. J. Text. Univ. 21, No. 1, 48--51 (2008; Zbl 1174.15311)