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arxiv: math/0601778 · v1 · submitted 2006-01-31 · 🧮 math.FA

A Hereditarily Indecomposable asymptotic ell₂ Banach space

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keywords spaceasymptoticbanachhereditarilyindecomposableanswersconjectureconstructed
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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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