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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 1, Pages 49–62
DOI: https://doi.org/10.1070/SM1987v056n01ABEH003023
(Mi sm2017)
 

This article is cited in 8 scientific papers (total in 8 papers)

Structure of the set of sums of a conditionally convergent series in a normed space

S. A. Chobanyan
References:
Abstract: Conditions are investigated for the set of sums of a conditionally convergent series with terms in a normed space to be linear. Main result: if $\sum a_k$ is a conditionally convergent series such that $\sum a_kr_k(s)$ converges for almost all $s$, then the set of sums of the series $\sum a_k$ is linear ($(r_k)$ is the sequence of Rademacher functions).
Bibliography: 24 titles.
Received: 27.06.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 1(9), Pages 50–65
Bibliographic databases:
UDC: 517.55
MSC: Primary 40A05, 40A30, 46B20; Secondary 42C20
Language: English
Original paper language: Russian
Citation: S. A. Chobanyan, “Structure of the set of sums of a conditionally convergent series in a normed space”, Mat. Sb. (N.S.), 128(170):1(9) (1985), 50–65; Math. USSR-Sb., 56:1 (1987), 49–62
Citation in format AMSBIB
\Bibitem{Cho85}
\by S.~A.~Chobanyan
\paper Structure of the set of sums of a~conditionally convergent series in a~normed space
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 1(9)
\pages 50--65
\mathnet{http://mi.mathnet.ru/sm2017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=805695}
\zmath{https://zbmath.org/?q=an:0604.46015|0592.46013}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 1
\pages 49--62
\crossref{https://doi.org/10.1070/SM1987v056n01ABEH003023}
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  • https://www.mathnet.ru/eng/sm/v170/i1/p50
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:665
    Russian version PDF:181
    English version PDF:14
    References:63
     
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