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Matematicheskie Zametki, 1973, Volume 14, Issue 1, Pages 31–38 (Mi mzm7200)  
This article is cited in 3 scientific papers (total in 4 papers)

Rearrangements of series in $L_p$

E. M. Nikishin

M. V. Lomonosov Moscow State University
Full-text PDF (333 kB) Citations (4)
Abstract: In this note we show that the condition
$$\sqrt{\sum_{n=1}^\infty f_n^2(x)}\in L_p$$
is sufficient for the set of sums of the rearranged series $\Sigma_\sigma f_n$ to be a closed linear set in $L_p$.
Received: 21.02.1973
English version:
Mathematical Notes, 1973, Volume 14, Issue 1, Pages 570–574
DOI: https://doi.org/10.1007/BF01095771
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: E. M. Nikishin, “Rearrangements of series in $L_p$”, Mat. Zametki, 14:1 (1973), 31–38; Math. Notes, 14:1 (1973), 570–574
Citation in format AMSBIB
\Bibitem{Nik73}
\by E.~M.~Nikishin
\paper Rearrangements of series in $L_p$
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 1
\pages 31--38
\mathnet{http://mi.mathnet.ru/mzm7200}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=330835}
\zmath{https://zbmath.org/?q=an:0278.40003}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 1
\pages 570--574
\crossref{https://doi.org/10.1007/BF01095771}
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  • https://www.mathnet.ru/eng/mzm/v14/i1/p31
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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