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.

引用

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页码：181 / 187

页数：7

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