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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 3, Pages 98–104 (Mi timm724)  
This article is cited in 2 scientific papers (total in 2 papers)

On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal

V. S. Balaganskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (145 kB) Citations (2) English version article
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Abstract: A bounded closed convex Chebyshev approximative compact body $M\subset X=L_1[0,1]$ without farthest points is constructed such that $\overline{X\setminus M}$ is antiproximinal.
Keywords: antiproximinal set, farthest points.
Received: 14.03.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2012, Volume 277, Issue 1, Pages S48–S54
DOI: https://doi.org/10.1134/S0081543812050069
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. S. Balaganskii, “On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 98–104; Proc. Steklov Inst. Math., 277, suppl. 1 (2012), S48–S54
Citation in format AMSBIB
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\paper On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 3
\pages 98--104
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 277
\issue , suppl. 1
\pages S48--S54
\crossref{https://doi.org/10.1134/S0081543812050069}
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    • This publication is cited in the following 2 articles:
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