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arXiv · 1301.7484

Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces

Fapeng Du·Yifeng Xue
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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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Fapeng Du, Yifeng Xue. 2013-01-31. Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces. https://arxiv.org/abs/1301.7484

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