Geodesic
An Infinite-Dimensional Generalization
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 231-239

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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, extremal subset of a Hilbert space, Chebyshev sphere, Kuratowski and Hausdorff noncompactness measures.
Mots-clés : Jung constant 
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     author = {V. Nguyen-Khac and K. Nguyen-Van},
     title = {An {Infinite-Dimensional} {Generalization}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {231--239},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a8/}
}
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V. Nguyen-Khac; K. Nguyen-Van. An Infinite-Dimensional Generalization. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 231-239. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a8/