Some inequalities for unitarily invariant norms of matrices
Some inequalities for unitarily invariant norms of matrices
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