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Computing p-summing norms with few vectors

William B. Johnson·Gideon Schechtman
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Abstract

It is shown that the p-summing norm of any operator with n-dimensional domain can be well-aproximated using only ``few" vectors in the definition of the p-summing norm. Except for constants independent of n and log n factors, ``few" means n if 1<p<2 and n^{p/2} if 2<p<infinity.

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William B. Johnson, Gideon Schechtman. 1992-09-22. Computing p-summing norms with few vectors. https://arxiv.org/abs/math/9209215

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