Abstract
We use a result of Bourgain and Delbaen on extreme points in duals of separable Banach spaces to characterize separable Banach spaces containing isomorphic copies of \( \ell^1 \) in terms of extreme points. We also study the weak star closure of a bounded subset A of a separable X Banach space in X ** in terms of the existence of a sequence in A equivalent to the canonical basis of \( \ell^1 \).
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