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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 190, Pages 110–147 (Mi znsl4893)  

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

Operator algebras and invariant subspaces lattices. II

V. V. Kapustin, A. V. Lipin
Abstract: Given a bounded linear operator $T$, we study the following questions: when the сommutant $\{T\}'$ is commutative; when each operator in the bicommutant $\{T\}''$ 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 Mathematical Sciences, 1994, Volume 71, Issue 1, Pages 2240–2262
DOI: https://doi.org/10.1007/BF02111296
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. V. Kapustin, A. V. Lipin, “Operator algebras and invariant subspaces lattices. II”, Investigations on linear operators and function theory. Part 19, Zap. Nauchn. Sem. LOMI, 190, Nauka, St. Petersburg, 1991, 110–147; J. Math. Sci., 71:1 (1994), 2240–2262
Citation in format AMSBIB
\Bibitem{KapLip91}
\by V.~V.~Kapustin, A.~V.~Lipin
\paper Operator algebras and invariant subspaces lattices.~II
\inbook Investigations on linear operators and function theory. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 190
\pages 110--147
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4893}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111915}
\zmath{https://zbmath.org/?q=an:0827.47036|0767.47029}
\transl
\jour J. Math. Sci.
\yr 1994
\vol 71
\issue 1
\pages 2240--2262
\crossref{https://doi.org/10.1007/BF02111296}
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  • https://www.mathnet.ru/eng/znsl/v190/p110
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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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