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Matematicheskie Zametki, 2006, Volume 79, Issue 3, Pages 323–338
DOI: https://doi.org/10.4213/mzm2703 (Mi mzm2703) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Antiproximinal convex bounded sets in the space $c_0(\Gamma)$ equipped with the day norm

V. S. Balaganskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (281 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/mzm2703
Abstract: We construct a convex smooth antiproximinal set in any infinite-dimensional space $c_0(\Gamma)$ equipped with the Day norm; moreover, the distance function to the set is Gâteaux differentiable at each point of the complement.
Received: 28.04.2004
Revised: 17.06.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 3, Pages 299–313
DOI: https://doi.org/10.1007/s11006-006-0035-5
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. S. Balaganskii, “Antiproximinal convex bounded sets in the space $c_0(\Gamma)$ equipped with the day norm”, Mat. Zametki, 79:3 (2006), 323–338; Math. Notes, 79:3 (2006), 299–313
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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