Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 8, Number 2 (2017), 168-176.
Perspectives and completely positive maps
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 $n$.
Ann. Funct. Anal. Volume 8, Number 2 (2017), 168-176.
Received: 8 August 2016
Accepted: 9 August 2016
First available in Project Euclid: 14 January 2017
Permanent link to this document
Digital Object Identifier
Primary: 47A63: Operator inequalities
Hansen, Frank. Perspectives and completely positive maps. Ann. Funct. Anal. 8 (2017), no. 2, 168--176. doi:10.1215/20088752-3784269. https://projecteuclid.org/euclid.afa/1484363068