Authors: | Lopez-Abad, Jordi Todorčević, Stevo |
Title: | Positional graphs and conditional structure of weakly null sequences |
Journal: | Advances in Mathematics |
Volume: | 242 |
First page: | 163 |
Last page: | 186 |
Issue Date: | 1-Aug-2013 |
Rank: | M21a |
ISSN: | 0001-8708 |
DOI: | 10.1016/j.aim.2013.04.010 |
Abstract: | We prove that, unless assuming additional set theoretical axioms, there are no reflexive spaces without unconditional sequences of the density continuum. We show that for every integer n there are normalized weakly-null sequences of length ωn without unconditional subsequences. This together with a result of Dodos et al. (2011) [7] shows that ωω is the minimal cardinal κ that could possibly have t... |
Keywords: | Banach problem | Minimal walks | Non-separable Banach spaces | Polarized Ramsey | Separable quotient problem | Unconditional and subsymmetric basic sequences |
Publisher: | Elsevier |
Project: | Ministerio de Economía y Competitividad, Project MTM2012-31286 |
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