This is an announcement for the paper "A hereditarily indecomposable asymptotic $\ell_2$ Banach space" by G. Androulakis and K. Beanland.

Abstract: 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.

Archive classification: Functional Analysis

Mathematics Subject Classification: 46B20; 46B03

Remarks: 29 pages

The source file(s), HIHilbert.tex: 98830 bytes, is(are) stored in gzipped form as 0601778.gz with size 25kb. The corresponding postcript file has gzipped size 139kb.

Submitted from: kjbeanland@smcm.edu

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http://front.math.ucdavis.edu/math.FA/0601778

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http://arXiv.org/abs/math.FA/0601778

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