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Matematicheskie Zametki, 1974, Volume 16, Issue 2, Pages 253–257 (Mi mzm7457)  
Operator algebras with strictly cyclic vectors

V. S. Shulman

Institute of Applied Mathematics and Mechanics AS of AzSSR
Full-text PDF (378 kB)
Abstract: We obtain results concerning the invariant subspaces of strictly cyclic operator algebras. In particular, we show that transitivity of a strictly cyclic algebra implies its strict (and hence even its strong) density.
Received: 14.09.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 2, Pages 739–741
DOI: https://doi.org/10.1007/BF01105580
Bibliographic databases:
UDC: 512
Language: Russian
Citation: V. S. Shulman, “Operator algebras with strictly cyclic vectors”, Mat. Zametki, 16:2 (1974), 253–257; Math. Notes, 16:2 (1974), 739–741
Citation in format AMSBIB
\Bibitem{Shu74}
\by V.~S.~Shulman
\paper Operator algebras with strictly cyclic vectors
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 2
\pages 253--257
\mathnet{http://mi.mathnet.ru/mzm7457}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=374933}
\zmath{https://zbmath.org/?q=an:0316.46058}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 2
\pages 739--741
\crossref{https://doi.org/10.1007/BF01105580}
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