A characterization of banach spaces containing L.
نویسنده
چکیده
It is proved that a Banach space contains a subspace isomorphic to l(1) if (and only if) it has a bounded sequence with no weak-Cauchy subsequence. The proof yields that a sequence of subsets of a given set has a subsequence that is either convergent or Boolean independent.
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 71 6 شماره
صفحات -
تاریخ انتشار 1974