This is an announcement for the paper "A discretized approach to W.T. Gowers' game" by V. Kanellopoulos and K. Tyros.

Abstract: We give an alternative proof of W.T. Gowers' theorem on block bases in Banach spaces by reducing it to a discrete analogue on specific countable nets.

Archive classification: math.FA math.CO

Mathematics Subject Classification: 05D10, 46B03

Remarks: 12 pages

The source file(s), discrgame.tex: 54985 bytes, is(are) stored in gzipped form as 0904.2313.gz with size 15kb. The corresponding postcript file has gzipped size 107kb.

Submitted from: ktyros@central.ntua.gr

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