Representations for Moore-Penrose Inverses in Hilbert Spaces

Authors

Yimin Wei, Fudan University
Jiu Ding, University of Southern MississippiFollow

Document Type

Article

Publication Date

7-1-2001

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let H₁, H₂ be two Hilbert spaces, and let T : H₁ → H₂ be a bounded linear operator with closed range. We present some representations of the perturbation for the Moore-Penrose inverse in Hilbert spaces for the case that the perturbation does not change the range or the null space of the operator.

Publication Title

Applied Mathematics Letters

Volume

14

Issue

5

First Page

599

Last Page

604

Recommended Citation

Wei, Y., Ding, J. (2001). Representations for Moore-Penrose Inverses in Hilbert Spaces. Applied Mathematics Letters, 14(5), 599-604.
Available at: https://aquila.usm.edu/fac_pubs/3850