J. Aust. Math. Soc.
76 (2004), 281290

The generalized condition numbers of bounded linear operators in Banach spaces

Guoliang Chen
Department of Mathematics
East China Normal University
Shanghai 200062
P.R. China


Yimin Wei
Department of Mathematics
Fudan University
Shanghai 200433
P.R. China



Yifeng Xue
Department of Mathematics
East China University of
Science and Technology
Shanghai 200237
P.R. China
xyf63071@public9.sta.net.cn



Abstract

For any bounded linear operator
in a Banach space, two generalized condition
numbers and are defined in this paper. These condition
numbers may be applied to the perturbation
analysis for the solution of illposed
differential equations and bounded linear
operator equations in infinite dimensional Banach
spaces. Different expressions for the two
generalized condition numbers are discussed in
this paper and applied to the perturbation
analysis of the operator equation.

Download the article in PDF format (size 71 Kb)


