Perspectives and completely positive maps

Abstract

We study the filtering of the perspective of a regular operator map of several variables through a completely positive linear map. By this method we are able to extend known operator inequalities of two variables to several variables; with applications in the theory of operator means of several variables. We also extend Lieb-Ruskai's convexity theorem from two to $n+1$ operator variables.

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References in corpus (1)

• A Matrix Convexity Approach to Some Celebrated Quantum Inequalities

Cited by in corpus (4)

• An inequality for expectation of means of positive random variables
• Non-linear positive maps between $C^{\ast }$-algebras
• A sharper bound for the Jensen's operator inequality
• Geodesic regression