Generalized perspectives of functions of several variables

Ismail Nikoufar, Moosa Shamohammadi


In this paper, we introduce the notion of multivariate generalized perspectives and verify the necessary and sufficient conditions for operator convexity (concavity) of this notion. We also establish the crossing of the multivariate generalized perspective of regular operator mappings under completely positive linear maps and partial traces.


multivariate generalized perspective, multivariate perspective, operator convexity

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ISSN: 1331-0623 (Print), 1848-8013 (Online)