Ando-Hiai type inequalities for operator means and operator perspectives

Abstract

We improve the existing Ando-Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version of the Lie-Trotter formula and consider the extension problem of operator perspectives to non-invertible positive operators.

46 pages

References in corpus (2)

• A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
• Geometric convexity of an operator mean