Generalized perspectives of functions of several variables
Abstract
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.
Keywords
multivariate generalized perspective, multivariate perspective, operator convexity
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)