Computing p-summing norms with few vectors
泛函分析
2016-09-06 v1
摘要
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.
引用
@article{arxiv.math/9209215,
title = {Computing p-summing norms with few vectors},
author = {William B. Johnson and Gideon Schechtman},
journal= {arXiv preprint arXiv:math/9209215},
year = {2016}
}