Title
Additive Perturbations And Multiplicative Perturbations For The Core Inverse Of Bounded Linear Operator In Hilbert Space
Keywords
Additive perturbations; Core inverse; Gap between subspaces; Multiplicative perturbations
Abstract
In this paper, we present some characteristics and expressions of the core inverse A # of bounded linear operator A in Hilbert spaces. Additive perturbations of core inverse are investigated under the condition R(Ā)∩N(A # ) = {0} and an upper bound of ‖Ā # −A # ‖ is obtained. We also discuss the multiplicative perturbations. The expressions of core inverse of perturbed operator T = EAF and the upper bounds of ‖T # − A # ‖ are obtained too.
Publication Date
1-1-2018
Publication Title
Filomat
Volume
32
Issue
17
Number of Pages
6131-6144
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.2298/FIL1817131D
Copyright Status
Unknown
Socpus ID
85061377938 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85061377938
STARS Citation
Du, Fapeng and Nashed, M. Zuhair, "Additive Perturbations And Multiplicative Perturbations For The Core Inverse Of Bounded Linear Operator In Hilbert Space" (2018). Scopus Export 2015-2019. 9965.
https://stars.library.ucf.edu/scopus2015/9965