This is an announcement for the paper "On the nontrivial projection problem" by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann.

Abstract: The Nontrivial Projection Problem asks whether every finite-dimensional normed space of dimension greater than one admits a well-bounded projection of non-trivial rank and corank or, equivalently, whether every centrally symmetric convex body (of arbitrary dimension greater than one) is approximately affinely equivalent to a direct product of two bodies of non-trivial dimension. We show that this is true "up to a logarithmic factor."

Archive classification: math.FA

Mathematics Subject Classification: 46B20, secondary 46B07, 52A21

Remarks: 17 pages

The source file(s), NPPforArxiv.tex: 46100 bytes, is(are) stored in gzipped form as 0805.3792.gz with size 17kb. The corresponding postcript file has gzipped size 126kb.

Submitted from: szarek@cwru.edu

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