Examples of asymptotically \ell_^1 Banach spaces
Functional Analysis
2016-09-06 v1
Abstract
Two examples of asymptotic Banach spaces are given. The first, , has an unconditional basis and is arbitrarily distortable. The second, , does not contain any unconditional basic sequence. Both are spaces of the type of Tsirelson. We thus answer a question raised by W.T.Gowers.
Keywords
Cite
@article{arxiv.math/9407210,
title = {Examples of asymptotically \ell_^1 Banach spaces},
author = {Spiros A. Argyros and Irene Deliyanni},
journal= {arXiv preprint arXiv:math/9407210},
year = {2016}
}