Examples of asymptotic ℓ₁ Banach spaces

Argyros, S.; Deliyanni, I.

doi:10.1090/S0002-9947-97-01774-1

Examples of asymptotic $\ell _1$ Banach spaces
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by S. A. Argyros and I. Deliyanni PDF

Trans. Amer. Math. Soc. 349 (1997), 973-995 Request permission

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’s.

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