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May 2017 Perspectives and completely positive maps
Frank Hansen
Ann. Funct. Anal. 8(2): 168-176 (May 2017). DOI: 10.1215/20088752-3784269

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 and Ruskai’s convexity theorem from two to n+1 operator variables for any natural number n.

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Frank Hansen. "Perspectives and completely positive maps." Ann. Funct. Anal. 8 (2) 168 - 176, May 2017. https://doi.org/10.1215/20088752-3784269

Information

Received: 8 August 2016; Accepted: 9 August 2016; Published: May 2017
First available in Project Euclid: 14 January 2017

zbMATH: 06694405
MathSciNet: MR3597155
Digital Object Identifier: 10.1215/20088752-3784269

Subjects:
Primary: 47A63

Rights: Copyright © 2017 Tusi Mathematical Research Group

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Vol.8 • No. 2 • May 2017
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