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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 449–455
DOI: https://doi.org/10.4213/mzm2831 (Mi mzm2831) 		 
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
Full-text PDF (413 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2831
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
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 428–434
DOI: https://doi.org/10.1007/s11006-006-0156-x
Bibliographic databases:
UDC: 517.5
Language: Russian
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
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm2831
  • https://doi.org/10.4213/mzm2831
  • https://www.mathnet.ru/eng/mzm/v80/i3/p449
    • This publication is cited in the following 2 articles:
    1. G. Z. Chelidze, A. N. Danelia, M. Z. Suladze, “On the Chebyshev Center and the Nonemptiness of the Intersection of Nested Sets”, Math. Notes, 111:3 (2022), 478–483  mathnet  crossref  crossref  mathscinet
    2. A. R. Alimov, I. G. Tsar'kov, “Chebyshev centres, Jung constants, and their applications”, Russian Math. Surveys, 74:5 (2019), 775–849  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:57
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