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Matematicheskie Zametki, 1968, Volume 3, Issue 5, Pages 529–538 (Mi mzm6710)  
This article is cited in 3 scientific papers (total in 3 papers)

On a problem of Bochner and von Neumann

V. V. Zhikov

M. V. Lomonosov Moscow State University
Full-text PDF (731 kB) Citations (3)
Abstract: The following theorem is proved. If there exists an everywhere dense set $\Gamma$ such that every solution of the equation $v_t'=-iA^*v$ satisfying the condition $v(0)\in\Gamma$ is defined on the entire axis and is bounded, then every compact solution of the equation $u'_t=iAu$ is an almost-periodic function.
Received: 06.07.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 5, Pages 337–342
DOI: https://doi.org/10.1007/BF01150985
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: V. V. Zhikov, “On a problem of Bochner and von Neumann”, Mat. Zametki, 3:5 (1968), 529–538; Math. Notes, 3:5 (1968), 337–342
Citation in format AMSBIB
\Bibitem{Zhi68}
\by V.~V.~Zhikov
\paper On a~problem of Bochner and von Neumann
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 5
\pages 529--538
\mathnet{http://mi.mathnet.ru/mzm6710}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=228802}
\zmath{https://zbmath.org/?q=an:0179.47401}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 5
\pages 337--342
\crossref{https://doi.org/10.1007/BF01150985}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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