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The proportional UAP characterizes weak Hilbert spaces

William B. Johnson·Gilles Pisier
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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.

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William B. Johnson, Gilles Pisier. 1990-12-31. The proportional UAP characterizes weak Hilbert spaces. https://arxiv.org/abs/math/9201220

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