Convex unconditionality and summability of weakly null sequences
Functional Analysis
2016-09-06 v1
Abstract
It is proved that every normalized weakly null \sq\ has a sub\sq\ which is convexly unconditional. Further, an Hierarchy of summability methods is introduced and with this we give a complete classification of the complexity of weakly null \sq s.
Cite
@article{arxiv.math/9512209,
title = {Convex unconditionality and summability of weakly null sequences},
author = {Spiros A. Argyros and S. Merkourakis and A. Tsarpalias},
journal= {arXiv preprint arXiv:math/9512209},
year = {2016}
}