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This article is cited in 2 scientific papers (total in 2 papers)
Operator-irreducible symmetric algebras of operators in the $\mathbf\Pi^1$ Pontryagin space
V. I. Liberzon, V. S. Shul'man
Abstract:
In this paper we prove that operator-irreducible weakly closed algebras (containing the identity) on $\mathbf\Pi^1$ are reflexive, and construct a canonical model of an arbitrary symmetric operator-irreducible algebra on $\mathbf\Pi^1$ with a bounded norm, which is not (spatially) irreducible.
Received: 15.10.1970
Citation:
V. I. Liberzon, V. S. Shul'man, “Operator-irreducible symmetric algebras of operators in the $\mathbf\Pi^1$ Pontryagin space”, Math. USSR-Izv., 5:5 (1971), 1168–1179
Linking options:
https://www.mathnet.ru/eng/im2152https://doi.org/10.1070/IM1971v005n05ABEH001215 https://www.mathnet.ru/eng/im/v35/i5/p1159
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Abstract page: | 271 | Russian version PDF: | 91 | English version PDF: | 16 | References: | 52 | First page: | 1 |
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