This is an announcement for the paper "On Zippin's embedding theorem of Banach spaces into Banach spaces with bases" by Thomas Schlumprecht.

Abstract: We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.

Archive classification: math.FA

Mathematics Subject Classification: 46B03

Submitted from: schlump@math.tamu.edu

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

http://front.math.ucdavis.edu/1408.3311

or

http://arXiv.org/abs/1408.3311