A Discretized Approach to W. T. Gowers' Game

• Autorzy: V. Kanellopoulos , K. Tyros
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 05D10: Ramsey theory
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: 58
• Numer: 1
• Strony: 1-16

Daty

wydano

2010

Twórcy

autor

V. Kanellopoulos

• Department of Mathematics, Faculty of Applied Sciences, National Technical University of Athens, Zografou Campus, 157 80, Athens, Greece

autor

K. Tyros

• Department of Mathematics, Faculty of Applied Sciences, National Technical University of Athens, Zografou Campus, 157 80, Athens, Greece

Identyfikatory

DOI

10.4064/ba58-1-1