Generalized perspectives of functions of several variables

Ismail Nikoufar; Moosa Shamohammadi

Vol. 23 No. 1 (2018)

Regular Articles

Generalized perspectives of functions of several variables

Published 2017-05-10

Ismail Nikoufar
Moosa Shamohammadi

Ismail Nikoufar
Payame NoorUniversity

Moosa Shamohammadi
Payame NoorUniversity

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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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Author Biography

Ismail Nikoufar

Department of Mathematics, Assistant Professor