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Matematicheskie Zametki, 1977, Volume 21, Issue 6, Pages 807–816 (Mi mzm8011)  
This article is cited in 1 scientific paper (total in 1 paper)

Remarks on mean convergence

P. L. Ul'yanov

M. V. Lomonosov Moscow State University
Full-text PDF (594 kB) Citations (1)
Abstract: In this article a necessary and sufficient condition is established for the validity of the Cauchy criterion in the class of sequences of functions $\{f_n\}$ of the set $\varphi(L)$ which are convergent with respect to the $\varphi$-distance.
Received: 11.11.1976
English version:
Mathematical Notes, 1977, Volume 21, Issue 6, Pages 455–461
DOI: https://doi.org/10.1007/BF01410174
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: P. L. Ul'yanov, “Remarks on mean convergence”, Mat. Zametki, 21:6 (1977), 807–816; Math. Notes, 21:6 (1977), 455–461
Citation in format AMSBIB
\Bibitem{Uly77}
\by P.~L.~Ul'yanov
\paper Remarks on mean convergence
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 6
\pages 807--816
\mathnet{http://mi.mathnet.ru/mzm8011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=467275}
\zmath{https://zbmath.org/?q=an:0398.40002|0374.40001}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 6
\pages 455--461
\crossref{https://doi.org/10.1007/BF01410174}
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  • https://www.mathnet.ru/eng/mzm/v21/i6/p807
    • This publication is cited in the following 1 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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