Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Abstract

In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.

Keywords

• young’s inequality
• hölder operator inequality
• operator means
• arithmetic mean-geometric mean inequality
• 47a63
• 47a30
• 26d15
• 26d10
• 15a60