Geodesic
General Franklin system as a~basis in~$B^1[0,1]$
Izvestiya. Mathematics , Tome 78 (2014) no. 6, pp. 1120-1137.

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For a general Franklin system $\{f_n\}_{n=0}^{\infty}$ generated by an admissible sequence $\mathcal T$, we obtain necessary and sufficient conditions on $\mathcal T$ under which the corresponding system is a basis or an unconditional basis in $B^1[0,1]$.
Keywords: general Franklin system, basis, unconditional basis, spaces $B^1$, $H^1$. 
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G. G. Gevorkyan. General Franklin system as a~basis in~$B^1[0,1]$. Izvestiya. Mathematics , Tome 78 (2014) no. 6, pp. 1120-1137. http://geodesic.mathdoc.fr/item/IM2_2014_78_6_a4/

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