Some convexity inequalities in noncommutative L p -spaces

摘要

In this paper, we prove some convexity inequalities in noncommutative L p spaces generalizing the previous result of Hiai and Zhan. Moreover, we generalize a variational inequality for positive definite matrices due to Hansen to the case of noncommutative L p spaces. MSC:47A30, 47L05, 47L50.