Geodesic
On the problem of G.~Targonski concerning the relation between the kernel of a~normal Carleman operator and the kernel of the adjoint operator
Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 599-606.

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We study the properties of the kernel of an unbounded Carleman operator that depend on the properties of the adjoint operator. 
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     title = {On the problem of {G.~Targonski} concerning the relation between the kernel of a~normal {Carleman} operator and the kernel of the adjoint operator},
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V. B. Korotkov. On the problem of G.~Targonski concerning the relation between the kernel of a~normal Carleman operator and the kernel of the adjoint operator. Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 599-606. http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a10/