[Banach] Abstract of a paper by Pandelis Dodos and Jordi Lopez-Abad

This is an announcement for the paper "On unconditionally saturated Banach spaces" by Pandelis Dodos and Jordi Lopez-Abad.

Abstract: 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 $\aaa$.

Archive classification: math.FA math.LO

Mathematics Subject Classification: 03E15, 46B03, 46B07, 46B15

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

The source file(s), UnconditionallySaturated-ArXiv.tex: 49281 bytes, is(are) stored in gzipped form as 0805.2046.gz with size 14kb. The corresponding postcript file has gzipped size 102kb.

Submitted from: pdodos@math.ntua.gr

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