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Grothendieck常数严格小于Krivine界

泛函分析 2011-08-18 v3 数据结构与算法

作者: Mark Braverman , Konstantin Makarychev , Yury Makarychev , Assaf Naor

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摘要

我们证明 $K_G<\frac{\pi}{2\log(1+\sqrt{2})}$ ，其中 $K_G$ 是Grothendieck常数。

关键词

Grothendieck常数 Krivine界不等式 Banach空间算子理论

引用

@article{arxiv.1103.6161,
  title  = {The Grothendieck constant is strictly smaller than Krivine's bound},
  author = {Mark Braverman and Konstantin Makarychev and Yury Makarychev and Assaf Naor},
  journal= {arXiv preprint arXiv:1103.6161},
  year   = {2011}
}

备注

An extended abstract describing the contents of this work will appear in FOCS 2011. Suggestions of the FOCS reviewers have been addressed