This article is cited in 4 papers

Nondegenerate operator algebras in spaces with an indefinite metric

V. I. Liberzon, V. S. Shul'man


Abstract: 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.

MSC: Primary 46L20, 47B50; Secondary 47A15

Received: 23.11.1972

 English version: Mathematics of the USSR-Izvestiya, 1973, 7:3, 529–534

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