The representations of generalized inverses of lower triangular operators |
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| Authors: | Chun Fang Shao Hong Ke Du Shu Feng Ji Jun Lian Xu |
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| Institution: | [1]College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062, P. R. China [2]Department of Mathematics, Ankang University, Ankang 725000, P. R. China |
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| Abstract: | In this note, the explicit representations of Moore-Penrose inverses of lower triangular operator matrices are established.
As an application, the explicit representations of Bott-Duffin inverses of bounded linear operators on a Hilbert space with
respect to a closed subspace are obtained. |
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| Keywords: | Moore-Penrose inverse lower triangular operator matrix Bott-Duffin inverse |
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