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A HEREDITARILY INDECOMPOSABLE ASYMPTOTIC $\ell_2$ BANACH SPACE

Published online by Cambridge University Press:  06 December 2006

G. ANDROULAKIS  and
K. BEANLAND
G. ANDROULAKIS
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, SC 29208 e-mail: giorgis@math.sc.edu, beanland@math.sc.edu
K. BEANLAND
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, SC 29208 e-mail: giorgis@math.sc.edu, beanland@math.sc.edu
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Abstract

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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.

Keywords

46B2046B03
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 3 , September 2006 , pp. 503 - 532
Copyright
2006 Glasgow Mathematical Journal Trust