Reverse Young and Heinz inequalities for matrices

Abstract

We give reverses of the classical Young inequality for positive real numbers and we use these to establish reverse Young and Heinz inequalities for matrices.

Keywords:

• reverse Young inequality
• reverse Heinz inequality
• Hilbert–Schmidt norm
• positive semidefinite matrix

AMS Subject Classifications::

• Primary 15A15
• 15A42
• 15A60
• 47A30
• 47B45