Some examples concerning proximinality in Banach spaces
Some examples concerning proximinality in Banach spaces
复制标题
关于 Banach 空间中邻近性的一些例子
DOI:
10.1016/j.jat.2015.06.002
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发表时间:
2015-12
影响因子:
0.9
通讯作者:
周宇
中科院分区:
文献类型:
--
作者:
张子厚;刘春燕;周宇
We discuss the relationships between τ-strongly Chebyshev, τ-approximative compactness, τ-strong proximinality, and proximinality, where τ stands for the norm topology or weak topology. We consider four examples which illustrate the differences, and a counterexample that shows the question regarding the approximative n-compact Chebyshev subset, raised by Bandyopadhyay et al., is negative.
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DOI:
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