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Matematicheskie Zametki, 1996, Volume 60, Issue 5, Pages 643–657
DOI: https://doi.org/10.4213/mzm1878 (Mi mzm1878) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Antiproximinal sets in spaces of continuous functions

V. S. Balaganskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (242 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm1878
Abstract: Closed convex bounded antiproximinal bodies are constructed in the infinite-dimensional spaces $C(Q)$, $C_0(T)$, $L_\infty(S,\Sigma,\mu)$ and $B(S)$, where $Q$ is a topological space and $T$ is a locally compact Hausdorff space. It is shown that there are no closed bounded antiproximinal sets in Banach spaces with the Radon–Nikodym property.
Received: 20.02.1995
English version:
Mathematical Notes, 1996, Volume 60, Issue 5, Pages 485–494
DOI: https://doi.org/10.1007/BF02309162
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. S. Balaganskii, “Antiproximinal sets in spaces of continuous functions”, Mat. Zametki, 60:5 (1996), 643–657; Math. Notes, 60:5 (1996), 485–494
Citation in format AMSBIB
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\by V.~S.~Balaganskii
\paper Antiproximinal sets in spaces of continuous functions
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\yr 1996
\vol 60
\issue 5
\pages 643--657
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\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 5
\pages 485--494
\crossref{https://doi.org/10.1007/BF02309162}
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    • This publication is cited in the following 9 articles:
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