刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 May 2017
年:2017
卷:449
期:1
页码:528-530
全文大小:199 K
卷排序:449
文摘
We provide a short proof of the following fact: If X is a Banach space, A and B xA0; are bounded, closed and convex sets with dist(A,B)>0dist(A,B)>0 and every x⁎∈X⁎x⁎∈X⁎ with the property that sup(x⁎,B)<inf(x⁎,A)sup(x⁎,B)<inf(x⁎,A) attains its infimum on A and its supremum on B, then both A and B are weakly compact.
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