科研之友
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摘要
Let X be an infinite-dimensional uniformly smooth Banach space. We prove that X contains an infinite equilateral set. That is, there exist a constant lambda %26gt; 0 and an infinite sequence (x(i))(i=1)(infinity) subset of X such that parallel to x(i) - x(j)parallel to = lambda for all i not equal j.
- 出版日期2014-1
