Geodesic
On the unconditional convergence of Faber--Schauder series in $L^{1}$
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 1, pp. 12-19

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In this paper we proved that the Faber–Schauder functions form an unconditional representation system for $L^1$.
Keywords: Faber–Schauder system, unconditional representation, $L^1$ space.
Mots-clés : convergence 
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T. M. Grigoryan; A. A. Maranjyan. On the unconditional convergence of Faber--Schauder series in $L^{1}$. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 1, pp. 12-19. http://geodesic.mathdoc.fr/item/UZERU_2021_55_1_a1/