Operator means in JB-algebras

Abstract

In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of them have origins from operators on Hilbert space but they have different forms and connotations, and their proofs require techniques in JB-algebras.

14

References in corpus (3)

• A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
• Relative Entropy and Tsallis Entropy of two Accretive Operators
• Operator inequalities among arithmetic mean, geometric mean and harmonic mean