On the nontrivial projection problem
Functional Analysis
2010-09-14 v1
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."
Cite
@article{arxiv.0805.3792,
title = {On the nontrivial projection problem},
author = {Stanislaw J. Szarek and Nicole Tomczak-Jaegermann},
journal= {arXiv preprint arXiv:0805.3792},
year = {2010}
}
Comments
17 pages