Reverses of Ando’s and Hölder–McCarty’s inequalities

Abstract

Abstract In this paper, we give some reverse-types of Ando’s and Hölder–McCarthy’s inequalities for positive linear maps, and positive invertible operators. For this purpose, we use a recently improved Young inequality and its reverse.

Keywords

• Positive operator
• Young inequality
• Hölder–McCarthy’s inequality
• Ando’s inequality