The generalized condition numbers of bounded linear operators in Banach spaces

被引：15

作者：

Chen, GL

Wei, YM

Xue, YF ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[3] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2004年 / 76卷

关键词：

condition number; bounded linear operator; generalized inverse;

D O I：

10.1017/S1446788700008958

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any bounded linear operator A in a Banach space, two generalized condition numbers (kappa) over bar (A) and (kappa) over cap (A) are defined in this paper. These condition numbers may be applied to the perturbation analysis for the solution of ill-posed 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.

引用

页码：281 / 290

页数：10

共 12 条

[1]

CHEN G, 1988, COMM APPL MATH COMPU, V1, P74

[2]

CHEN G, 1989, J MATH APPL, V3, P69

[3] Perturbation analysis for the operator equation Tx=b in Banach spaces [J].