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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 178, Pages 23–56 (Mi znsl4675)  

This article is cited in 3 scientific papers (total in 3 papers)

Operator algebras and invariant subspaces lattices. I

V. V. Kapustin, A. V. Lipin
Abstract: Given a bounded linear operator $T$, we study the following questions: when the commutant $\{T\}'$ is commutative; when each operator in the bicomrautant $\{T\}''$ can be approximated by polynomials of $T$ in the weak operator topology, the problem of reflexivity and others. These questions are solved for some classes of operators.
English version:
Journal of Soviet Mathematics, 1992, Volume 61, Issue 2, Pages 1963–1981
DOI: https://doi.org/10.1007/BF01095662
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. V. Kapustin, A. V. Lipin, “Operator algebras and invariant subspaces lattices. I”, Investigations on linear operators and function theory. Part 18, Zap. Nauchn. Sem. LOMI, 178, "Nauka", Leningrad. Otdel., Leningrad, 1989, 23–56; J. Soviet Math., 61:2 (1992), 1963–1981
Citation in format AMSBIB
\Bibitem{KapLip89}
\by V.~V.~Kapustin, A.~V.~Lipin
\paper Operator algebras and invariant subspaces lattices.~I
\inbook Investigations on linear operators and function theory. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 178
\pages 23--56
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4675}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1037764}
\zmath{https://zbmath.org/?q=an:0784.47044|0727.47029}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 61
\issue 2
\pages 1963--1981
\crossref{https://doi.org/10.1007/BF01095662}
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  • https://www.mathnet.ru/eng/znsl/v178/p23
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    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Записки научных семинаров ПОМИ
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