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

Fapeng Du; Yifeng Xue

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

Functional Analysis 2013-02-01 v1 Numerical Analysis

Authors: Fapeng Du , Yifeng Xue

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.

Keywords

Moore-Penrose inverse closed operators Hilbert spaces perturbation analysis inner product upper bounds

Cite

@article{arxiv.1301.7484,
  title  = {Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces},
  author = {Fapeng Du and Yifeng Xue},
  journal= {arXiv preprint arXiv:1301.7484},
  year   = {2013}
}

Comments

9 pages

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