Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Sbornik, 1983, Volume 45, Issue 4, Pages 507–513
DOI: https://doi.org/10.1070/SM1983v045n04ABEH001022 (Mi sm2232) 		 
On the connection between the properties of completeness and unconditional convergence for orthogonal systems

A. A. Talalyan
English version PDF (449 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1983v045n04ABEH001022
Abstract: It is proved that there exists an orthonormal system that is not a system of unconditional convergence and, moreover, is not complete in the $L_2$-metric on any set of positive measure.
Bibliography: 8 titles.
Received: 05.08.1981
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1982, Volume 117(159), Number 4, Pages 516–522
Bibliographic databases:
UDC: 517.52
MSC: Primary 42C10, 42C20, 42C30; Secondary 46B15, 46E30
Language: English
Original paper language: Russian
Citation: A. A. Talalyan, “On the connection between the properties of completeness and unconditional convergence for orthogonal systems”, Mat. Sb. (N.S.), 117(159):4 (1982), 516–522; Math. USSR-Sb., 45:4 (1983), 507–513
Citation in format AMSBIB
\Bibitem{Tal82}
\by A.~A.~Talalyan
\paper On the connection between the properties of completeness and unconditional convergence for orthogonal systems
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 117(159)
\issue 4
\pages 516--522
\mathnet{http://mi.mathnet.ru/sm2232}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=651142}
\zmath{https://zbmath.org/?q=an:0519.42023}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 45
\issue 4
\pages 507--513
\crossref{https://doi.org/10.1070/SM1983v045n04ABEH001022}
Linking options:
  • https://www.mathnet.ru/eng/sm2232
  • https://doi.org/10.1070/SM1983v045n04ABEH001022
  • https://www.mathnet.ru/eng/sm/v159/i4/p516
    • 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
    Statistics & downloads:
    Abstract page:222
    Russian version PDF:70
    English version PDF:7
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024