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