论文标题
Grothendieck的不平等和完全相关的保留功能 - 最新结果的摘要和相关研究问题的指示
Grothendieck's inequality and completely correlation preserving functions -- a summary of recent results and an indication of related research problems
论文作者
论文摘要
As part of the search for the value of the smallest upper bound of the best constant for the famous Grothendieck inequality, the so-called Grothendieck constant (a hard open problem - unsolved since 1953), we provide a further approach, primarily built on functions which map correlation matrices entrywise to correlation matrices by means of the Schur product, multivariate Gaussian analysis, copulas and inversion of suitable Taylor series.我们总结了第一个结果，并指出了有关未来研究的相关开放问题和主题。
As part of the search for the value of the smallest upper bound of the best constant for the famous Grothendieck inequality, the so-called Grothendieck constant (a hard open problem - unsolved since 1953), we provide a further approach, primarily built on functions which map correlation matrices entrywise to correlation matrices by means of the Schur product, multivariate Gaussian analysis, copulas and inversion of suitable Taylor series. We summarise first results and point towards related open problems and topics for future research.
