Geodesic
Rearrangements of function series
Sbornik. Mathematics, Tome 14 (1971) no. 2, pp. 267-280 
E. M. Nikishin. Rearrangements of function series. Sbornik. Mathematics, Tome 14 (1971) no. 2, pp. 267-280. http://geodesic.mathdoc.fr/item/SM_1971_14_2_a6/
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In this article we solve a problem of Banach on rearrangements of series of functions. Bibliography: 7 titles.

[1] P. Lévy, “Sur les series semi-convergents”, Nouv. Ann. D. Math. (4), 5 (1905), 506–511 | Zbl

[2] E. Steinitz, “Bedingt konvergente Reihen und konvexe Systeme”, J. Reine und Angew Math., 143 (1913), 128–175 | Zbl

[3] W. Orlicz, “Über die unabhängig von der Anordnung fast überall konvergenten Funktionenreihen”, Bull. Acad. Polon., 1927, 117–125 | Zbl

[4] E. M. Nikishin, “O mnozhestve summ funktsionalnogo ryada”, Matem. zametki, 7:4 (1970), 403–410 | Zbl

[5] S. Kachmazh, G. Shteingauz, Teoriya ortogonalnykh ryadov, Fizmatgiz, Moskva, 1958

[6] E. M. Nikishin, “O skhodyaschikhsya perestanovkakh funktsionalnykh ryadov”, Matem. zametki, 1:2 (1967), 129–136 | Zbl

[7] M. I. Kadets, “Ob uslovno skhodyaschikhsya ryadakh v prostranstve $L_p$”, Uspekhi matem. nauk, IX:1(59) (1954), 107–109