PERTURBATION ANALYSIS OF THE MOORE-PENROSE INVERSE FOR A CLASS OF BOUNDED OPERATORS IN HILBERT SPACES Deng, Chunyuan; Wei, Yimin;
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.