Geodesic
On a Greedy Algorithm in~$L^1(0,1)$ with Regard to Subsystems of the Haar System and on $\omega$-Quasigreedy Bases
Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 18-29.

Voir la notice de l'article provenant de la source Math-Net.Ru

All quasigreedy subsystems of the Haar system in $L^1(0,1)$ are described. The problem of renormalizing the Haar system so that it becomes a quasigreedy basis is also studied.
Keywords: greedy algorithm in $L^1(0,1)$, Haar system, $\omega$-quasigreedy basis, quasigreedy Haar subsystem, Banach space. 
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S. L. Gogyan. On a Greedy Algorithm in~$L^1(0,1)$ with Regard to Subsystems of the Haar System and on $\omega$-Quasigreedy Bases. Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 18-29. http://geodesic.mathdoc.fr/item/MZM_2010_88_1_a1/

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