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Matematicheskie Zametki, 1972, Volume 12, Issue 3, Pages 275–280 (Mi mzm9879)  

This article is cited in 1 scientific paper (total in 1 paper)

Rearrangements of series in a Hilbert space

F. A. Talalyan

Erevan State University
Full-text PDF (553 kB) Citations (1)
Abstract: A theorem on rearrangements of numerical series, proved by Agnew, is extended to series in a Hilbert space. A complete proof is given of Orlicz's theorem on unconditionally convergent series in a Hilbert space.
Received: 03.12.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 3, Pages 599–602
DOI: https://doi.org/10.1007/BF01093993
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: F. A. Talalyan, “Rearrangements of series in a Hilbert space”, Mat. Zametki, 12:3 (1972), 275–280; Math. Notes, 12:3 (1972), 599–602
Citation in format AMSBIB
\Bibitem{Tal72}
\by F.~A.~Talalyan
\paper Rearrangements of series in a Hilbert space
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 3
\pages 275--280
\mathnet{http://mi.mathnet.ru/mzm9879}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=318852}
\zmath{https://zbmath.org/?q=an:0242.40008}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 3
\pages 599--602
\crossref{https://doi.org/10.1007/BF01093993}
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  • https://www.mathnet.ru/eng/mzm/v12/i3/p275
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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