Shao, Chunfang; Ye, Peixin Representations of the Moore-Penrose inverses of oblique projection operators. (English) Zbl 1399.47007 Acta Sci. Nat. Univ. Nankaiensis 50, No. 5, 28-35 (2017). Summary: Based on the space decomposition technique, the block matrix representations of the Moore-Penrose inverses of the oblique projections on a Hilbert space are given. As an application, the existence and block matrix representations of the Moore-Penrose inverses of the differences of two oblique projections are obtained. MSC: 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Keywords:Moore-Penrose inverse; oblique projection operator; operator matrix; space decomposition; idempotent PDFBibTeX XMLCite \textit{C. Shao} and \textit{P. Ye}, Acta Sci. Nat. Univ. Nankaiensis 50, No. 5, 28--35 (2017; Zbl 1399.47007)