矩阵单调函数类间的间隙
Gaps between classes of matrix monotone functions
摘要：
本文证明了定义在区间上的所有不同类型的矩阵单调函数之间存在间隙，只要区间是非平凡的且不同于整条实直线。然后，我们展示了如何矩阵单调函数可用于某些C* 代数的表征作为替代的研究的matricial结构的正线性映射。
英文摘要：
We prove the existence of gaps between all the different classes of matrix monotone functions defined on an interval, provided the interval is non trivial and different from the whole real line. We then show how matrix monotone functions may be used in the characterization of certain C*-algebras as an alternative to the study of the matricial structure by positive linear maps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
