Geodesic
On properties of bases after their orthogonalization
Izvestiya. Mathematics , Tome 4 (1970) no. 6, pp. 1429-1446.

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We wish to determine which $L^p$ spaces have bases formed by orthogonalizing a sequence of functions $\{f_n\}$ that is a basis in $C(0,1)$. We show that the answer to this question depends on the sequence of functions $\{f_n\}$ and also on the method of orthogonalization. 
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V. M. Veselov. On properties of bases after their orthogonalization. Izvestiya. Mathematics , Tome 4 (1970) no. 6, pp. 1429-1446. http://geodesic.mathdoc.fr/item/IM2_1970_4_6_a8/

[1] Kachmazh S., Shteingauz G., Teoriya ortogonalnykh ryadov, M., 1958

[2] Banakh S., Kurs funktsionalnogo analizu, Kiiv, 1948

[3] Ulyanov P. L., “Nekotorye voprosy teorii ortogonalnykh i biortogonalnykh ryadov”, Izv. AN AzerbSCP. Ser. fiz., tekhn. i matem. nauk, 1965, no. 6, 11–13 | MR

[4] Ciesielski Z., “Properties of the orthonormal Franclin system”, Studia Math., 23:2 (1963), 141–157 | MR | Zbl

[5] Szlenk W., “Une remarque sur l'orthogonalisation des bases de Schauder dans l'espase $C$”, Coll. Math., 15:2 (1966), 297–301 | MR | Zbl

[6] Beselov V. M., “Ob ortogonalizatsii bazisov”, Matem. zametki, 6:6 (1969), 713–724 | MR | Zbl