Unconditional structures of weakly null sequences
泛函分析
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/9911019,
title = {Unconditional structures of weakly null sequences},
author = {S. A. Argyros and I. Gasparis},
journal= {arXiv preprint arXiv:math/9911019},
year = {2007}
}
备注
44 pages, AMS-LaTex