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Hello everyone, could anyone please tell me where can I find information about the Elton–Odell theorem?

It states:

For any infinite dimensional Banach space $X$ there is a $q > 1$ so that $X$ contains a sequence $(x_n)$ with $\|x_n\|=1$ and $\|x_n-x_m\|\ge q$, whenever $m\ne n$.

Thanks

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    $\begingroup$ The original paper: MR0633103 (82k:46025) Elton, J.; Odell, E. The unit ball of every infinite-dimensional normed linear space contains a $(1+\varepsilon )$-separated sequence. Colloq. Math. 44 (1981), no. 1, 105--109. 46B20 $\endgroup$
    – Jonas Meyer
    Commented Feb 25, 2010 at 20:46

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J. Diestel, Sequences and series in Banach spaces, Springer-Verlag, New York, 1984. (Chapter XIV, page 241)

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  • $\begingroup$ thx a lot!!!!!! $\endgroup$
    – Dan
    Commented Feb 26, 2010 at 3:05

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