Perturbation of closed range operators and Moore-Penrose inverse

S. H. Kulkarni, G. Ramesh

Let $H_1,H_2$ be complex Hilbert spaces and $T:H_1\to H_2$ be a densely defined closed operator with domain $D(T)\subseteq H_1$ and $T^{†}$ be the Moore-Penrose inver…