NDLI: Perturbations of Moore-Penrose metric generalized inverses of linear operators in Banach spaces

Content Provider	Springer Nature Link
Author	Zheng, Wen Jing Sun, Shuang Ma, Hai Feng Wang, YuWen
Copyright Year	2014
Abstract	In this paper, the perturbations of the Moore-Penrose metric generalized inverses of linear operators in Banach spaces are described. The Moore-Penrose metric generalized inverse is homogeneous and nonlinear in general, and the proofs of our results are different from linear generalized inverses. By using the quasi-additivity of Moore-Penrose metric generalized inverse and the theorem of generalized orthogonal decomposition, we show some error estimates of perturbations for the single-valued Moore-Penrose metric generalized inverses of bounded linear operators. Furthermore, by means of the continuity of the metric projection operator and the quasi-additivity of Moore-Penrose metric generalized inverse, an expression for Moore-Penrose metric generalized inverse is given.
Ending Page	1124
Page Count	16
Starting Page	1109
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	7
Volume Number	30
Language	English
Publisher	Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date	2014-06-15
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Perturbation theory Moore-Penrose metric generalized inverse perturbation General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Mathematics Banach space
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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