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Mathematics of the USSR-Sbornik, 1984, Volume 47, Issue 1, Pages 1–26
DOI: https://doi.org/10.1070/SM1984v047n01ABEH002565 (Mi sm2834) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Invariant subspaces of the space $C^\infty$

N. G. Makarov
English version PDF (1180 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1984v047n01ABEH002565
Abstract: Let $C^\infty$ be the space of infinitely differentiable functions on the unit circle $\mathbf T$. The operator $z$ of multiplication by the independent variable acts in this space: $f\mapsto zf$. This article deals with a description of the invariant subspaces of the operator $z$.
Bibliography: 11 titles.
Received: 25.12.1981
Bibliographic databases:
UDC: 517.5
MSC: Primary 46F15, 47A15, 47B37; Secondary 30D50, 30E10, 46E10, 46H10
Language: English
Original paper language: Russian
Citation: N. G. Makarov, “Invariant subspaces of the space $C^\infty$”, Math. USSR-Sb., 47:1 (1984), 1–26
Citation in format AMSBIB
\Bibitem{Mak82}
\by N.~G.~Makarov
\paper Invariant subspaces of the space $C^\infty$
\jour Math. USSR-Sb.
\yr 1984
\vol 47
\issue 1
\pages 1--26
\mathnet{http://mi.mathnet.ru/eng/sm2834}
\crossref{https://doi.org/10.1070/SM1984v047n01ABEH002565}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=672407}
\zmath{https://zbmath.org/?q=an:0533.47007}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:405
    Russian version PDF:236
    English version PDF:62
    References:73
     
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