A discretized approach to W.T. Gowers' game

Details A discretized approach to W.T. Gowers' game A discretized approach to W.T. Gowers' game

2009-04-15

arxiv.org/abs/0904.2313v3

Mathematics

Functional Analysis

Revised version, 13 pages

Scientific paper

We give an alternative proof of W. T. Gowers' theorem on block bases by
reducing it to a discrete analogue on specific countable nets. We also give a
Ramsey type result on k-tuples of block sequences in a normed linear space with
a Schauder basis.

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