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Remarks on James's distortion theorems II
Published online by Cambridge University Press: 17 April 2009
Abstract
If a Banach space X contains a complemented subspace isomorphic to ℓ1 and if ε > 0, then there exists a subspace Y of X and a projection P from X onto Y such that Y is (1 + ε)-isometric to ℓ1 and ∥P∥ ≤ 1 + ε. A stronger result for c0 is proved for Banach spaces whose dual unit ball is weak sequentially compact.
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- Copyright © Australian Mathematical Society 1999
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