Some inequalities for unitarily invariant norms of matrices

Abstract

Abstract This article aims to discuss inequalities involving unitarily invariant norms. We obtain a refinement of the inequality shown by Zhan. Meanwhile, we give an improvement of the inequality presented by Bhatia and Kittaneh for the Hilbert-Schmidt norm. Mathematical Subject Classification MSC (2010) 15A60; 47A30; 47B15

Keywords

• Unitarily invariant norms
• Positive semidefinite matrices
• Convex function
• Inequality