Geodesic
Operator algebras with strictly cyclic vectors
Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 253-257.

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We obtain results concerning the invariant subspaces of strictly cyclic operator algebras. In particular, we show that transitivity of a strictly cyclic algebra implies its strict (and hence even its strong) density. 
@article{MZM_1974_16_2_a8,
     author = {V. S. Shulman},
     title = {Operator algebras with strictly cyclic vectors},
     journal = {Matemati\v{c}eskie zametki},
     pages = {253--257},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a8/}
}
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V. S. Shulman. Operator algebras with strictly cyclic vectors. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 253-257. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a8/