Additive perturbations and multiplicative perturbations for the core inverse of bounded linear operator in Hilbert space

Autor:	M. Zuhair Nashed, Fapeng Du
Rok vydání:	2018
Předmět:	symbols.namesake Pure mathematics General Mathematics Operator (physics) Multiplicative function Core (graph theory) Hilbert space symbols Inverse Upper and lower bounds Mathematics Bounded operator
Zdroj:	Filomat. 32:6131-6144
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1817131d
Popis:	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( ?)?N(A#) = {0} and an upper bound of ||?#-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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::842dc6344c245d3764bb8f62ba06c3a4 https://doi.org/10.2298/fil1817131d Zobrazit plný text záznamu