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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0805.2046 or http://arXiv.org/abs/0805.2046 or by email in unzipped form by transmitting an empty message with subject line uget 0805.2046 or in gzipped form by using subject line get 0805.2046 to: math@arXiv.org.
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