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On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces

On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces

For two given Hilbert spaces H and K and a given bounded linear operator A ? L(H,K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G ? L(K,H) of A which is both minimum norm and least squares. In this paper, …