Gowers’ dichotomy for asymptotic structure

Wagner, R.

doi:10.1090/S0002-9939-96-03718-5

Gowers’ dichotomy for asymptotic structure
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by R. Wagner PDF

Proc. Amer. Math. Soc. 124 (1996), 3089-3095 Request permission

Abstract:

In this paper Gowers’ dichotomy is extended to the context of weaker forms of unconditionality, most notably asymptotic unconditionality. A general dichotomic principle is demonstrated; a Banach space has either a subspace with some unconditionality property, or a subspace with a corresponding ‘proximity of subspaces’ property.

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