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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}_…
math.FA1999
Unconditional structures of weakly null sequences
S. A. Argyros, I. Gasparis
The following dichotomy is established for a normalized weakly null sequence in a Banach space: Either every subsequence admits a convex block subsequence equivalent to the unit ve…