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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 3, Pages 627–644
DOI: https://doi.org/10.1070/IM1970v004n03ABEH000924 (Mi im2438) 		 
On systems of convergence for $l_p$

E. M. Nikishin
English version PDF (659 kB) Citations (1) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1970v004n03ABEH000924
Abstract: In this work, necessary and sufficient conditions are found in order for a system of measurable functions $\{f_n(x)\}$ to be a system of convergence for $l_p$. The assertions set forth here are a strengthening of the work of the author $({}^1)$ in the case when $B=l_p$.
Received: 18.06.1969
Bibliographic databases:
UDC: 517.5
MSC: 28A20, 28A33
Language: English
Original paper language: Russian
Citation: E. M. Nikishin, “On systems of convergence for $l_p$”, Math. USSR-Izv., 4:3 (1970), 627–644
Citation in format AMSBIB
\Bibitem{Nik70}
\by E.~M.~Nikishin
\paper On systems of convergence for~$l_p$
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 3
\pages 627--644
\mathnet{http://mi.mathnet.ru//eng/im2438}
\crossref{https://doi.org/10.1070/IM1970v004n03ABEH000924}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=267305}
\zmath{https://zbmath.org/?q=an:0198.10101}
Linking options:
  • https://www.mathnet.ru/eng/im2438
  • https://doi.org/10.1070/IM1970v004n03ABEH000924
  • https://www.mathnet.ru/eng/im/v34/i3/p621
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025