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On reductive operators and operator algebras A. I. Loginov, V. S. Shulman 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.  Full text:
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English version: Mathematics of the USSR-Izvestiya, 1976, 10:4,  Bibliographic databases:  
UDC: 519.4 MSC: Primary 46L15, 47B99; Secondary 46L10 Received: 05.09.1974 Citation: A. I. Loginov, V. S. Shulman, “On reductive operators and operator algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 40:4 (1976), 
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