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Representations for Moore-Penrose inverses in Hilbert spaces. (English) Zbl 0982.47003
Let \(H_1\), \(H_2\) be Hilbert spaces and let \(T: H_1\to H_2\) be a bounded linear operator with the closed range. There are given some representations of the perturbation for Moore-Penrose inverse in the case when this perturbation preserves invariant the range or the null space of the operator \(T\) under consideration.

MSC:
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
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