Geodesic
On a Sufficient Condition for Regularizability of Linear Inverse Problem
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 242-246

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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. 
@article{MZM_2007_82_2_a8,
     author = {L. D. Menikhes},
     title = {On a {Sufficient} {Condition} for {Regularizability} of {Linear} {Inverse} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {242--246},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a8/}
}
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L. D. Menikhes. On a Sufficient Condition for Regularizability of Linear Inverse Problem. Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 242-246. http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a8/