Perturbation analysis of bounded homogeneous generalized inverses on Banach spaces
Jianbing Cao and D. Yifeng Xue
Received: February 28, 2013; Revised: April 2, 2014; Accepted: May 6, 2014
Abstract. Let X, Y be Banach spaces and T: X \to Y be a bounded linear operator. In this paper, we initiate the study of the perturbation problems for bounded homogeneous generalized inverse Th and quasi-linear projector generalized inverse Th of T. Some applications to the representations and perturbations of the Moore-Penrose metric generalized inverse TM of T are also given. The obtained results in this paper extend some well-known results for linear operator generalized inverses in this field.
Keywords: Homogeneous operator; stable perturbation; quasi-additivity; generalized inverse.
AMS Subject classification: Primary: 47A05 Secondary: 46B20
Version to read: PDF
ISSN 0862-9544 (Printed edition)
Faculty of Mathematics, Physics and Informatics
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: firstname.lastname@example.org Internet: www.iam.fmph.uniba.sk/amuc
© 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE