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

Socpus ID

85061377938 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85061377938

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