Geodesic
On exact Weyl multipliers
Sbornik. Mathematics, Tome 36 (1980) no. 1, pp. 101-110

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The existence of a complete orthonormal system which has no exact Weyl multiplier is proved. It is shown that by rearrangements of the orthonormal system of D. E. Men'shov one can realize all exact Weyl multipliers, while the class of convex sequences is not large enough to contain all Weyl multipliers. Bibliography: 8 titles. 
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     author = {S. N. Poleshchuk},
     title = {On exact {Weyl} multipliers},
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S. N. Poleshchuk. On exact Weyl multipliers. Sbornik. Mathematics, Tome 36 (1980) no. 1, pp. 101-110. http://geodesic.mathdoc.fr/item/SM_1980_36_1_a6/