Abstract
In this paper, we investigate the perturbation for the Moore-Penrose inverse of closed operators on Hilbert spaces. By virtue of a new inner product defined on H, we give the expression of the Moore-Penrose inverse \(\bar{T}^{\dag}\) and the upper bounds of \(\|\bar{T}^{\dag}\|\) and \(\|\bar{T}^{\dag}-T^{\dag}\|\). These results obtained in this paper extend and improve many related results in this area.
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Du, F., Xue, Y. Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces. J. Appl. Math. Comput. 43, 1–9 (2013). https://doi.org/10.1007/s12190-013-0648-2
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DOI: https://doi.org/10.1007/s12190-013-0648-2