A Discretized Approach to W. T. Gowers' Game

V. Kanellopoulos; K. Tyros

Bulletin of the Polish Academy of Sciences. Mathematics (2010)

  • Volume: 58, Issue: 1, page 1-16
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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V. Kanellopoulos, and K. Tyros. "A Discretized Approach to W. T. Gowers' Game." Bulletin of the Polish Academy of Sciences. Mathematics 58.1 (2010): 1-16. <http://eudml.org/doc/281322>.

@article{V2010,
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.},
author = {V. Kanellopoulos, K. Tyros},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Gowers' theorem on block bases},
language = {eng},
number = {1},
pages = {1-16},
title = {A Discretized Approach to W. T. Gowers' Game},
url = {http://eudml.org/doc/281322},
volume = {58},
year = {2010},
}

TY - JOUR
AU - V. Kanellopoulos
AU - K. Tyros
TI - A Discretized Approach to W. T. Gowers' Game
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 1
SP - 1
EP - 16
AB - 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.
LA - eng
KW - Gowers' theorem on block bases
UR - http://eudml.org/doc/281322
ER -

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