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This article is cited in 2 scientific papers (total in 2 papers)
Some remarks on the intersection of embedded sets
G. Z. Chelidzea, P. L. Papinib a Muskhelishvili Institute of Computational Mathematics
b University of Bologna
Abstract:
We study certain connections between a parameter characterizing the intersection of embedded sets and the Jung constant. We also define the critical value of the parameter for a certain product space and prove that, in reflexive spaces, the intersection of embedded sets is nonempty for the critical value of the parameter.
Keywords:
embedded closed sets, Jung constant, reflexive space, Banach space, critical value of a Banach space.
Received: 05.09.2005 Revised: 10.03.2006
Citation:
G. Z. Chelidze, P. L. Papini, “Some remarks on the intersection of embedded sets”, Mat. Zametki, 80:3 (2006), 449–455; Math. Notes, 80:3 (2006), 428–434
Linking options:
https://www.mathnet.ru/eng/mzm2831https://doi.org/10.4213/mzm2831 https://www.mathnet.ru/eng/mzm/v80/i3/p449
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Abstract page: | 418 | Full-text PDF : | 226 | References: | 49 | First page: | 3 |
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