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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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