Regularizability of some classes of mappings that are inverses of integral operators

被引：3
|
作者：
Menikhes, LD [1 ]
机构：
[1] Chelyabinsk State Univ, Chelyabinsk, Russia
来源：
MATHEMATICAL NOTES | 1999年 / 65卷 / 1-2期
关键词：
Banach space; inverse of an integral operator; ill-posed problem; Tikhonov regularization method; regularizability; nonreflexive space; Fourier coefficient;
D O I：
10.1007/BF02679815
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the regularizability of mappings that are inverses of integral operators acting from C(0, 1) to L-2(0, 1) and possessing noninjective continuation to L-2(0, 1). We construct classes of such operators with regularizable as well as nonregularizable inverses for which the continuation of the operators to L-2(0, 1) has an infinite-dimensional kernel.
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页码：181 / 187
页数：7
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