An infinite-dimensional generalization of the jung theorem

被引：2
|
作者：
Nguen-Khac, V.
Nguen-Van, K.
机构：
[1] Inst Math, Hanoi 10000, Vietnam
[2] Hanoi Pedagog Inst, Hanoi, Vietnam
来源：
MATHEMATICAL NOTES | 2006年 / 80卷 / 1-2期
关键词：
Jung theorem; Jung constant; extremal subset of a Hilbert space; Chebyshev sphere; Kuratowski and Hausdorff noncompactness measures;
D O I：
10.1007/s11006-006-0131-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：224 / 232
页数：9
相关论文
共 50 条
12345