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

2013/01/31 by Du, Fapeng, Xue, Yifeng
#15A09 #47A55 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1301.7484

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 T^† and the upper bounds of ‖T^†‖ and ‖T^†-T^†‖. These results obtained in this paper extend and improve many related results in this area.

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