A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space

Mathematics – Functional Analysis

Scientific paper

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29 pages

Scientific paper

A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space is
constructed. The existence of such a space answers a question of B. Maurey and
verifies a conjecture of W.T. Gowers.

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