This is an announcement for the paper "A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces" by G. Androulakis, S. J. Dilworth, and N. J. Kalton.

Abstract: We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.

Archive classification: math.FA

Mathematics Subject Classification: 46A16, 91A05, 91A80

The source file(s), AndDilKal.tex: 70671 bytes, is(are) stored in gzipped form as 0806.0058.gz with size 20kb. The corresponding postcript file has gzipped size 132kb.

Submitted from: giorgis@math.sc.edu

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http://arXiv.org/abs/0806.0058

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