Unconditional structures of weakly null sequences

Details Unconditional structures of weakly null sequences Unconditional structures of weakly null sequences

1999-11-03

arxiv.org/abs/math/9911019v1

Mathematics

Functional Analysis

44 pages, AMS-LaTex

Scientific paper

The following dichotomy is established for a normalized weakly null sequence in a Banach space: Either every subsequence admits a convex block subsequence equivalent to the unit vector basis of c, the Banach space of null sequences under the supremum norm, or there exists a subsequence which is boundedly convexly complete. This result generalizes J. Elton's dichotomy on weakly null sequences.

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