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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 4(2), Pages 489–497
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-489-497 (Mi isu540) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Mathematics

Convexity of Bounded Chebyshev Sets in Finite-dimensional Asymmetrically Normed Spaces

A. R. Alimov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, 1, Main Building, Leninskiye Gory, GSP-1, Moscow, 119991, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-4-489-497
Abstract: The well-known Tsar'kov's characterisation of finite-dimensional Banach spaces in which every bounded Chebyshev set (bounded $P$-acyclic set) is convex is extended to the asymmetrical setting.
Key words: bounded Chebyshev set, convexity, asymmetric norm.
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: A. R. Alimov, “Convexity of Bounded Chebyshev Sets in Finite-dimensional Asymmetrically Normed Spaces”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014), 489–497
Citation in format AMSBIB
\Bibitem{Ali14}
\by A.~R.~Alimov
\paper Convexity of Bounded Chebyshev Sets in Finite-dimensional Asymmetrically Normed Spaces
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 4(2)
\pages 489--497
\mathnet{http://mi.mathnet.ru/isu540}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-4-489-497}
\elib{https://elibrary.ru/item.asp?id=22625597}
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    • This publication is cited in the following 16 articles:
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