Examples of asymptotically \ell_^1 Banach spaces

Details Examples of asymptotically \ell_^1 Banach spaces Examples of asymptotically \ell_^1 Banach spaces

1994-07-22

arxiv.org/abs/math/9407210v1

Mathematics

Functional Analysis

Scientific paper

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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