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Examples of asymptotically \ell_^1 Banach spaces

Spiros A. Argyros·Irene Deliyanni
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Abstract

Two examples of asymptotic $\ell_{1}$ Banach spaces are given. The first, $X_{u}$, has an unconditional basis and is arbitrarily distortable. The second, $X$, 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.

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Spiros A. Argyros, Irene Deliyanni. 1994-07-22. Examples of asymptotically \ell_^1 Banach spaces. https://arxiv.org/abs/math/9407210

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