Geodesic
Nondegenerate operator algebras in spaces with an indefinite metric
Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 529-534

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A theorem on the bicommutant is proved for nondegenerate $\mathcal J$-symmetric operator algebras in the space $\Pi_k$ ($k\infty$). By means of this theorem a simple description is given of the set of unitarily equivalent classes of nondegenerate, weakly closed $\mathcal J$-symmetric algebras. 
@article{IM2_1973_7_3_a3,
     author = {V. I. Liberzon and V. S. Shul'man},
     title = {Nondegenerate operator algebras in spaces with an indefinite metric},
     journal = {Izvestiya. Mathematics },
     pages = {529--534},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a3/}
}
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V. I. Liberzon; V. S. Shul'man. Nondegenerate operator algebras in spaces with an indefinite metric. Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 529-534. http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a3/