This article is cited in 4 papers

On a Sufficient Condition for Regularizability of Linear Inverse Problem

L. D. Menikhes

South Ural State University

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.

UDC: 517.9

Received: 21.08.2002
Revised: 09.11.2006

DOI: 10.4213/mzm3794

 English version: Mathematical Notes, 2007, 82:2, 212–215

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