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Matematicheskie Zametki, 1976, Volume 20, Issue 3, Pages 315–320 (Mi mzm7849)  
This article is cited in 6 scientific papers (total in 6 papers)

Some properties of the set of extreme points of the unit ball of a Banach space

M. I. Kadets, V. P. Fonf

Special Design Bureau Turbogazmashina
Full-text PDF (354 kB) Citations (6)
Abstract: In [1] it was proved that the unit ball of a reflexive Banach space has an uncountable set of extreme points. In this note it is shown that this set is also massive in some topological sense.
Received: 25.04.1976
English version:
Mathematical Notes, 1976, Volume 20, Issue 3, Pages 737–739
DOI: https://doi.org/10.1007/BF01097240
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: M. I. Kadets, V. P. Fonf, “Some properties of the set of extreme points of the unit ball of a Banach space”, Mat. Zametki, 20:3 (1976), 315–320; Math. Notes, 20:3 (1976), 737–739
Citation in format AMSBIB
\Bibitem{KadFon76}
\by M.~I.~Kadets, V.~P.~Fonf
\paper Some properties of the set of extreme points of the unit ball of a~Banach space
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 3
\pages 315--320
\mathnet{http://mi.mathnet.ru/mzm7849}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=430754}
\zmath{https://zbmath.org/?q=an:0337.46019}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 3
\pages 737--739
\crossref{https://doi.org/10.1007/BF01097240}
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  • https://www.mathnet.ru/eng/mzm/v20/i3/p315
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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