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Matematicheskie Zametki, 2007, Volume 82, Issue 2, Pages 242–246
DOI: https://doi.org/10.4213/mzm3794 (Mi mzm3794) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On a Sufficient Condition for Regularizability of Linear Inverse Problem

L. D. Menikhes

South Ural State University
Full-text PDF (380 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm3794
Abstract: 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.
Keywords: linear inverse problem, continuous linear operator, integral operator, regularization, Banach space, locally convex space.
Received: 21.08.2002
Revised: 09.11.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 2, Pages 212–215
DOI: https://doi.org/10.1134/S0001434607070267
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: L. D. Menikhes, “On a Sufficient Condition for Regularizability of Linear Inverse Problem”, Mat. Zametki, 82:2 (2007), 242–246; Math. Notes, 82:2 (2007), 212–215
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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