On unconditionally saturated Banach spaces

Details On unconditionally saturated Banach spaces On unconditionally saturated Banach spaces

2008-05-14

arxiv.org/abs/0805.2046v1

Studia Mathematica 188 (2008), 175-191

Mathematics

Functional Analysis

16 pages, no figures. Studia Mathematica (to appear)

Scientific paper

We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set $\aaa$, in the Effros-Borel space of subspaces of $C[0,1]$, of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space $Y$, with a Schauder basis, that contains isomorphic copies of every space $X$ in the class $\aaa$.

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