Geodesic
On properties of bases after their orthogonalization
Izvestiya. Mathematics, Tome 4 (1970) no. 6, pp. 1429-1446 
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/
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     author = {V. M. Veselov},
     title = {On properties of bases after their orthogonalization},
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     year = {1970},
     volume = {4},
     number = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_6_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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