报告摘要：
| It is well known that the upper bounds of the weighted Moore–Penroseinverseplay a fundamental role in the perturbation analysis for the weighted linear least squares problem. In this talk, we provide a sharp estimation. Thus norm estimations for the weighted Moore–Penrose inverses of theacute perturbations can be improved uniformly. Let be the set of bounded linear operators on aBanach space , and a liner operator be Drazin invertible. and arethe spectral projectors of and respectively. Some new formulas for spectral radius of is generalized to the Banach space.
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