Gowers' dichotomy for asymptotic structure

Author:
R. Wagner

Journal:
Proc. Amer. Math. Soc. **124** (1996), 3089-3095

MSC (1991):
Primary 46B20

DOI:
https://doi.org/10.1090/S0002-9939-96-03718-5

MathSciNet review:
1363438

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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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Additional Information

**R. Wagner**

Affiliation:
School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel

Email:
pasolini@math.tau.ac.il

DOI:
https://doi.org/10.1090/S0002-9939-96-03718-5

Received by editor(s):
March 27, 1995

Additional Notes:
The author was partially supported by BSF

Communicated by:
Dale Alspach

Article copyright:
© Copyright 1996
American Mathematical Society