Geodesic
On the convergence of linear operators of the class $S_m$
Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 591-598.

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We give a necessary and sufficient condition for the convergence of sequences of operators of the class $S_m$ to a single operator. 
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     author = {R. M. Min'kova and Yu. A. Shashkin},
     title = {On the convergence of linear operators of the class $S_m$},
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     year = {1969},
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R. M. Min'kova; Yu. A. Shashkin. On the convergence of linear operators of the class $S_m$. Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 591-598. http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a9/