PERTURBATION ANALYSIS OF THE MOORE-PENROSE INVERSE FOR A CLASS OF BOUNDED OPERATORS IN HILBERT SPACES

- Journal title : Journal of the Korean Mathematical Society
- Volume 47, Issue 4, 2010, pp.831-843
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2010.47.4.831

Title & Authors

PERTURBATION ANALYSIS OF THE MOORE-PENROSE INVERSE FOR A CLASS OF BOUNDED OPERATORS IN HILBERT SPACES

Deng, Chunyuan; Wei, Yimin;

Deng, Chunyuan; Wei, Yimin;

Abstract

Let and be Hilbert spaces and let T, = T + be bounded operators from into . In this article, two facts related to the perturbation bounds are studied. The first one is to find the upper bound of which extends the results obtained by the second author and enriches the perturbation theory for the Moore-Penrose inverse. The other one is to develop explicit representations of projectors and . In addition, some spectral cases related to these results are analyzed.

Keywords

generalized inverse;Moore-Penrose inverse;perturbation;block operator matrix;

Language

English

Cited by

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