The proportional UAP characterizes weak Hilbert spaces
Functional Analysis
2008-02-03 v1
Abstract
We prove that a Banach space has the uniform approximation property with proportional growth of the uniformity function iff it is a weak Hilbert space.
Cite
@article{arxiv.math/9201220,
title = {The proportional UAP characterizes weak Hilbert spaces},
author = {William B. Johnson and Gilles Pisier},
journal= {arXiv preprint arXiv:math/9201220},
year = {2008}
}