A discretized approach to W.T. Gowers' game
Functional Analysis
2010-03-01 v3 Combinatorics
Abstract
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.
Cite
@article{arxiv.0904.2313,
title = {A discretized approach to W.T. Gowers' game},
author = {V. Kanellopoulos and K. Tyros},
journal= {arXiv preprint arXiv:0904.2313},
year = {2010}
}
Comments
Revised version, 13 pages