This is an announcement for the paper "Embedding into Banach spaces with finite dimensional decompositions" by E. Odell and Th. Schlumprecht.

Abstract: This paper deals with the following types of problems: Assume a Banach space $X$ has some property (P). Can it be embedded into some Banach space $Z$ with a finite dimensional decomposition having property (P), or more generally, having a property related to (P)? Secondly, given a class of Banach spaces, does there exist a Banach space in this class, or in a closely related one, which is universal for this class?

Archive classification: Functional Analysis

Mathematics Subject Classification: 46B03; 46B20

Remarks: 26 pages

The source file(s), os-embedding-final.tex: 109527 bytes, is(are) stored in gzipped form as 0701324.gz with size 33kb. The corresponding postcript file has gzipped size 182kb.

Submitted from: combs@mail.ma.utexas.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/math.FA/0701324

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http://arXiv.org/abs/math.FA/0701324

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