On a sufficient condition for regularizability of linear inverse problems

被引：3

作者：

Menikhes, L. D. ^{[1
]}

机构：

[1] S Ural State Univ, Chelyabinsk, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 82卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

linear inuerse problem; continuous linear operator; integral operator; regularization; Barzach space; locally convex space;

D O I：

10.1134/S0001434607070267

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the regularizability of mappings inverse to continuous linear operators from C(0, 1) into L-2(0, 1) and obtain a sufficient condition for the regularizability of such mappings in terms of the properties of the extended operator. We show that the obtained condition is in a sense exact.

引用

页码：212 / 215

页数：4

共 50 条

[1] On a sufficient condition for regularizability of linear inverse problems
L. D. Menikhes
[J]. Mathematical Notes, 2007, 82 : 212 - 215
[2] NECESSARY AND SUFFICIENT CONDITION OF LINEAR REGULARIZABILITY
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[J]. DOKLADY AKADEMII NAUK SSSR, 1976, 229 (06): : 1292 - 1294
[3] REGULARIZABILITY OF LINEAR INVERSE PROBLEMS BY LINEAR METHODS
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[J]. DOKLADY AKADEMII NAUK SSSR, 1976, 229 (05): : 1037 - 1040
[4] THE STRONG REGULARIZABILITY OF LINEAR INVERSE PROBLEMS
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[5] CONDITIONS OF LINEAR AND FINITE-DIMENSIONAL REGULARIZABILITY OF LINEAR INVERSE PROBLEMS
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[6] SOME PROBLEMS OF THE LINEAR REGULARIZABILITY
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[J]. MATHEMATICAL NOTES, 1979, 26 (3-4) : 781 - 785
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[J]. MATHEMATICAL NOTES, 1993, 53 (3-4) : 263 - 267
[10] BASIS REGULARIZABILITY OF INVERSE OPERATORS
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