Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 1975, Volume 18, Issue 3, Pages 313–325 (Mi mzm7654)  
This article is cited in 2 scientific papers (total in 2 papers)

The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$

Yu. A. Abramovich, P. Voitaschik

Arkhangelsk Forestry Engineering Institute
Full-text PDF (1090 kB) Citations (2)
Abstract: It is considered to what extent the order in the spaces $L_p$ and $l_p$ is determined by the linearly topological type. It is proved that, for example, $L_1$ and $L_2$ have a unique continuous order, and the spaces $l_p$, $p\ne2,\infty$, admit only discrete orders.
Received: 24.06.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 3, Pages 775–781
DOI: https://doi.org/10.1007/BF01095432
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. A. Abramovich, P. Voitaschik, “The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$”, Mat. Zametki, 18:3 (1975), 313–325; Math. Notes, 18:3 (1975), 775–781
Citation in format AMSBIB
\Bibitem{AbrWoj75}
\by Yu.~A.~Abramovich, P.~Voitaschik
\paper The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 3
\pages 313--325
\mathnet{http://mi.mathnet.ru/mzm7654}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=394097}
\zmath{https://zbmath.org/?q=an:0322.46030}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 3
\pages 775--781
\crossref{https://doi.org/10.1007/BF01095432}
Linking options:
  • https://www.mathnet.ru/eng/mzm7654
  • https://www.mathnet.ru/eng/mzm/v18/i3/p313
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025