2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.FA2008
On Banach Spaces containing or
George Androulakis, Nigel Kalton, Adi Tcaciuc
We use the Gowers block Ramsey theorem to characterize Banach spaces containing isomorphs of (for some ) or .
math.FA2008
Asymptotic Unconditionality
S. R. Cowell, N. J. Kalton
We show that a separable real Banach space embeds almost isometrically in a space with a shrinking 1-unconditional basis if and only if $\lim_{n \to \infty} \|x^* + x_n^*\| = \…
math.FA2008★ 2 cited
A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces
G. Androulakis, S. J. Dilworth, N. J. Kalton
We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.