Geodesic
Concerning an Example of Paskiewich
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 286-291 Cet article a éte moissonné depuis la source Math-Net.Ru

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We generalize the construction proposed by A. Paskiewich of an example of an orthonormal system which establishes the sharpness of the Men?shov-Rademacher theorem. The connection of his example with that of Men?shov is elucidated. 
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     title = {Concerning an {Example} of {Paskiewich}},
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A. P. Solodov. Concerning an Example of Paskiewich. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 286-291. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a13/

[1] Menshov D. E., “Sur les séries de fonctions orthogonales”, Fund. Math., 4 (1923), 82–105

[2] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Izd-vo AFTs, M., 1999 | MR

[3] Matsaev V. I., “Ob odnom klasse vpolne nepreryvnykh operatorov”, Dokl. AN SSSR, 139:3 (1961), 548–551 | Zbl

[4] Paskiewich A., “A new proof of Menshov–Rademacher theorem”, Acta Sci. Math. (to appear)

[5] Naimark A. N., Normirovannye koltsa, Nauka, M., 1968 | MR

[6] Oswald P., “On the convergence rate of SOR: A worst case estimate”, Computing, 52 (1994), 245–255 | DOI | MR | Zbl

[7] Golubov B. I., Efimov A. V., Skvortsov V. A., Ryady i preobrazovaniya Uolsha. Teoriya i primeneniya, Nauka, M., 1987 | Zbl