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Matematicheskie Zametki, 2006, Volume 80, Issue 2, Pages 231–239
DOI: https://doi.org/10.4213/mzm2804 (Mi mzm2804) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An Infinite-Dimensional Generalization of the Jung theorem

V. Nguyen-Khaca, K. Nguyen-Vanb

a Institute of Mathematics, National Centre for Natural Science and Technology
b Hanoi Pedagogical institute
Full-text PDF (413 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2804
Abstract: A complete characterization of the extremal subsets of Hilbert spaces, which is an infinite-dimensional generalization of the classical Jung theorem, is given. The behavior of the set of points near the Chebyshev sphere of such a subset with respect to the Kuratowski and Hausdorff measures of noncompactness is investigated.
Keywords: Jung theorem, Jung constant, extremal subset of a Hilbert space, Chebyshev sphere, Kuratowski and Hausdorff noncompactness measures.
Received: 07.06.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 2, Pages 224–243
DOI: https://doi.org/10.1007/s11006-006-0131-6
Bibliographic databases:
UDC: 514.17
Language: Russian
Citation: V. Nguyen-Khac, K. Nguyen-Van, “An Infinite-Dimensional Generalization of the Jung theorem”, Mat. Zametki, 80:2 (2006), 231–239; Math. Notes, 80:2 (2006), 224–243
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm2804
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    • This publication is cited in the following 2 articles:
    1. 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
    2. Berckmoes B., “On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric”, J. Inequal. Appl., 2016, 215  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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