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, 2019, Volume 106, Issue 2, Pages 188–197
DOI: https://doi.org/10.4213/mzm12081 (Mi mzm12081) 		 
The Steiner Subratio in Banach Spaces

L. Burusheva

Lomonosov Moscow State University
Full-text PDF (468 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12081
Abstract: For every $n=2,3,\dots$, the minimum of the Steiner subratio is found for $n$-point sets in Banach spaces, and an example of a Banach space is constructed for which this minimum is attained. An example of a Banach space for which the minimum possible Steiner subratio equals $1/2$ is also constructed.
Keywords: Banach space, shortest network, minimal filling, Steiner subratio.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00333-а
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
Foundation for the Development of Theoretical Physics and Mathematics BASIS
This work was supported by the Russian Foundation for Basic Research (grant 18-01-00333-a), by the program “Leading Scientific Schools” (grant NSh-6222.2018.1), and by the Development Fund “BASIS” for Theoretical Physics and Mathematics.
Received: 02.06.2018
Revised: 15.10.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 2, Pages 183–190
DOI: https://doi.org/10.1134/S0001434619070228
Bibliographic databases:
Document Type: Article
UDC: 517.982.256+515.124.4
Language: Russian
Citation: L. Burusheva, “The Steiner Subratio in Banach Spaces”, Mat. Zametki, 106:2 (2019), 188–197; Math. Notes, 106:2 (2019), 183–190
Citation in format AMSBIB
\Bibitem{Bur19}
\by L.~Burusheva
\paper The Steiner Subratio in Banach Spaces
\jour Mat. Zametki
\yr 2019
\vol 106
\issue 2
\pages 188--197
\mathnet{http://mi.mathnet.ru/mzm12081}
\crossref{https://doi.org/10.4213/mzm12081}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3985699}
\elib{https://elibrary.ru/item.asp?id=38590314}
\transl
\jour Math. Notes
\yr 2019
\vol 106
\issue 2
\pages 183--190
\crossref{https://doi.org/10.1134/S0001434619070228}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000483778800022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071634585}
Linking options:
  • https://www.mathnet.ru/eng/mzm12081
  • https://doi.org/10.4213/mzm12081
  • https://www.mathnet.ru/eng/mzm/v106/i2/p188
    • 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, 2024