Inequalities on 2×2 block accretive partial transpose matrices

Abstract

In this note, we first corrected a result of Alakhrass [1], then presented some inequalities related to 2 × 2 block accretive partial transpose matrices which generalized some results on block positive partial transpose matrices.

Keywords

• accretive partial transpose matrices
• positive partial transpose matrices
• weighted geometric mean
• unitarily invariant norms