Title : ( PERTURBATION OF CLOSED RANGE OPERATORS )
Authors: Mohammad Sal Moslehian , Ghadir Sadeghi ,
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Abstract
Let T,A be operators with their domains D(T) D(A) in a normed space X. The operator A is called T-bounded if kAxk akxk+bkTxk for some a, b 0 and all x 2 D(T). If A has the Hyers–Ulam stability then under some suitable assumptions we show that T and S := A + T have the Hyers–Ulam stability. We also discuss the best constant of Hyers–Ulam stability for the operator S. Thus we establish a link between T-bounded operators and Hyers–Ulam stability.
Keywords
, Hilbert space, perturbation, Hyers–Ulam stability, closed operator, semi-Fredholm operator.
@inproceedings{paperid:1006986,
author = {Sal Moslehian, Mohammad and Sadeghi, Ghadir},
title = {PERTURBATION OF CLOSED RANGE OPERATORS},
booktitle = {سی و نهمین کنفرانس ریاضی ایران},
year = {2008},
location = {کرمان, IRAN},
keywords = {Hilbert space; perturbation; Hyers–Ulam stability; closed operator;
semi-Fredholm operator.},
}
%0 Conference Proceedings
%T PERTURBATION OF CLOSED RANGE OPERATORS
%A Sal Moslehian, Mohammad
%A Sadeghi, Ghadir
%J سی و نهمین کنفرانس ریاضی ایران
%D 2008
