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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 4, Pages 799–807
DOI: https://doi.org/10.1070/IM1976v010n04ABEH001815 (Mi im2206) 		 
On reductive operators and operator algebras

A. I. Loginov, V. S. Shulman
English version PDF (557 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n04ABEH001815
Abstract: We prove a theorem on the structure of weakly closed reductive operator algebras. The proof essentially relies on a known result of V. I. Lomonosov on transitive operator algebras containing a nonzero compact operator. We deduce a number of corollaries which apply to the reductivity problem.
Bibliography: 20 titles.
Received: 05.09.1974
Bibliographic databases:
UDC: 519.4
MSC: Primary 46L15, 47B99; Secondary 46L10
Language: English
Original paper language: Russian
Citation: A. I. Loginov, V. S. Shulman, “On reductive operators and operator algebras”, Math. USSR-Izv., 10:4 (1976), 799–807
Citation in format AMSBIB
\Bibitem{LogShu76}
\by A.~I.~Loginov, V.~S.~Shulman
\paper On reductive operators and operator algebras
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 4
\pages 799--807
\mathnet{http://mi.mathnet.ru//eng/im2206}
\crossref{https://doi.org/10.1070/IM1976v010n04ABEH001815}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=428064}
\zmath{https://zbmath.org/?q=an:0332.47009}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:246
    Russian version PDF:88
    English version PDF:22
    References:52
    First page:1
     
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