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math.FA2005
Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces
Jordi Lopez Abad, S. Todorcevic
Two applications of Nash-Williams' theory of barriers to sequences on Banach spaces are presented: The first one is the -saturation of , countable compacta. The seco…
math.FA2003
A class of Banach spaces with few non strictly singular operators
S. A. Argyros, J. Lopez-Abad, S. Todorcevic
We construct a family $(\mathcal{X}_\al)_{\al\le ω_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_…