Some Properties of a Class of Trace Functions on Finite von Neumann Algebras

本文在有限von Neumann代数的情形下应用广义奇异值的方法证明了一类迹函数的若干性质。特别地，我们将Hansen的主要结果推广至有限von Neumann代数的情形。In this paper, via the method of generalized singular values, we prove some properties of a class of trace functions defined over finite von Neumann algebras. In particular, we extend the main results of Hansen to the context of finite von Neumann algebras.