Abstract of a paper by D. Freeman, E. Odell, B. Sari, and Th. Schlumprecht
7 Jun
2013
7 Jun
'13
2:37 p.m.
This is an announcement for the paper "Equilateral sets in uniformly smooth Banach spaces" by D. Freeman, E. Odell, B. Sari, and Th. Schlumprecht. Abstract: Let $X$ be an infinite dimensional uniformly smooth Banach space. We prove that $X$ contains an infinite equilateral set. That is, there exists a constant $\lambda>0$ and an infinite sequence $(x_i)_{i=1}^\infty\subset X$ such that $\|x_i-x_j\|=\lambda$ for all $i\neq j$. Archive classification: math.FA Mathematics Subject Classification: 46B20, 46B04 Remarks: 11 pages Submitted from: dfreema7@slu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1305.6750 or http://arXiv.org/abs/1305.6750
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