Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices

Abstract

Abstract In this article, two inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices are proved, and we also present a unitarily invariant norm inequality for the Hua matrix which is sharper than an existing result.

Keywords

• Sector partial transpose matrices
• Unitarily invariant norms
• Linear maps