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This article is cited in 4 scientific papers (total in 4 papers)
Representations of $C^*$-algebras in spaces with indefinite metric
V. S. Shulman
Abstract:
The problem is considered of orthogonalization of $J$-symmetric representations of $C^*$-algebras in the Pontryagin spaces $\Pi_\varkappa$. It is proved that in spaces with finite rank of indefiniteness, every such representation is similar to a $*$-representation in a Hilbert space. Necessary and sufficient conditions are established for the existence of an invariant dual pair of subspaces for a $J$-symmetric operator algebra.
Received: 24.03.1976
Citation:
V. S. Shulman, “Representations of $C^*$-algebras in spaces with indefinite metric”, Mat. Zametki, 22:4 (1977), 583–592; Math. Notes, 22:4 (1977), 816–820
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https://www.mathnet.ru/eng/mzm8081 https://www.mathnet.ru/eng/mzm/v22/i4/p583
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Abstract page: | 172 | Full-text PDF : | 72 | First page: | 1 |
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