论文标题
痕迹和核操作员
Trace-Class and Nuclear Operators
论文作者
论文摘要
本文探讨了从一对Banach空间的投射张量产品的漫长旅程，通过核操作员的定义仍处于投射张量产品的领域，再到希尔伯特（Hilbert）空间上的微量级运营商的概念，并展示了这些概念（核和痕迹阶级操作员）如何以及为什么最终同意。
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilbert space, and shows how and why these concepts (nuclear and trace-class operators, that is) agree in the end.
