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math.FA2008
Unconditional basic sequences in spaces of large density
Pandelis Dodos, Jordi Lopez Abad, Stevo Todorcevic
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement…
math.FA2006
A -saturated Banach space with no long unconditional basic sequences
Jordi Lopez Abad, Stevo Todorcevic
We present a Banach space with a Schauder basis of length which is saturated by copies of and such that for every closed decomposition of a closed subsp…
math.FA2005
A classification of Tsirelson type spaces
Jordi Lopez Abad, Antonis Manoussakis
We give a complete classification of mixed Tsirelson spaces T[(F\_i, theta\_i)\_{i=1}^r ] for finitely many pairs of given compact and hereditary families F\_i of finite sets of in…