The proportional UAP characterizes weak Hilbert spaces

Details The proportional UAP characterizes weak Hilbert spaces The proportional UAP characterizes weak Hilbert spaces

1990-12-31

arxiv.org/abs/math/9201220v1

Mathematics

Functional Analysis

Scientific paper

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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