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Matematicheskie Zametki, 1970, Volume 7, Issue 3, Pages 307–310 (Mi mzm9510)  
This article is cited in 2 scientific papers (total in 2 papers)

Normed spaces in which the unit sphere has no bias

N. I. Gurarii, Yu. I. Sozonov

Kharkov Polytechnic Institute
Full-text PDF (603 kB) Citations (2)
Abstract: We find the class of normed spaces in which the unit sphere has no bias (the midpoint of the segment joining two arbitrary normalized elements is, among the points of this segment, the one nearest to the zero element).
Received: 25.11.1968
English version:
Mathematical Notes, 1970, Volume 7, Issue 3, Pages 187–189
DOI: https://doi.org/10.1007/BF01093111
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: N. I. Gurarii, Yu. I. Sozonov, “Normed spaces in which the unit sphere has no bias”, Mat. Zametki, 7:3 (1970), 307–310; Math. Notes, 7:3 (1970), 187–189
Citation in format AMSBIB
\Bibitem{GurSoz70}
\by N.~I.~Gurarii, Yu.~I.~Sozonov
\paper Normed spaces in which the unit sphere has no bias
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 3
\pages 307--310
\mathnet{http://mi.mathnet.ru/mzm9510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=264375}
\zmath{https://zbmath.org/?q=an:0215.48201}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 3
\pages 187--189
\crossref{https://doi.org/10.1007/BF01093111}
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  • https://www.mathnet.ru/eng/mzm/v7/i3/p307
    • 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
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