Geodesic
Basicity and unicellularity of weighted shift operators
Izvestiya. Mathematics , Tome 2 (1968) no. 5, pp. 1077-1089

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In the sequence spaces $l^p$ the invariant subspaces of weighted shift operators $T=S\Lambda$ are investigated, along with the problem of when a system $\{t_nT^nx\}^\infty_{n=0}$, $x\in l^p$, forms a Riesz basis in $l^p$. 
@article{IM2_1968_2_5_a7,
     author = {N. K. Nikol'skii},
     title = {Basicity and unicellularity of weighted shift operators},
     journal = {Izvestiya. Mathematics },
     pages = {1077--1089},
     publisher = {mathdoc},
     volume = {2},
     number = {5},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_5_a7/}
}
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N. K. Nikol'skii. Basicity and unicellularity of weighted shift operators. Izvestiya. Mathematics , Tome 2 (1968) no. 5, pp. 1077-1089. http://geodesic.mathdoc.fr/item/IM2_1968_2_5_a7/