Perspectives and completely positive maps
Mathematical Physics
2017-04-05 v4 math.MP
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 operator variables.
Keywords
Cite
@article{arxiv.1601.06723,
title = {Perspectives and completely positive maps},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:1601.06723},
year = {2017}
}
Comments
New title. Minor improvements of content and style. Some material deleted