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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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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