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Representations of the Moore-Penrose inverses of oblique projection operators. (English) Zbl 1399.47007

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.)
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