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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm2703https://doi.org/10.4213/mzm2703 https://www.mathnet.ru/eng/mzm/v79/i3/p323
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Abstract page: | 401 | Full-text PDF : | 203 | References: | 56 | First page: | 1 |
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