On some properties for a class of deformed trace functions on finite von Neumann algebras

Abstract

The purpose of this note is to establish some properties for a class of deformed trace functions for operators in finite von Neumann algebras. Moreover, some properties for functions related to generalized singular values are also included. As an application, we extend some results of Hansen [6] and Shi-Hansen [15] to the case of finite von Neumann algebras.