Generalized perspectives of functions of several variables
Nikoufar, Ismail ; Shamohammadi, Moosa
Mathematical Communications, Tome 22 (2017) no. 1, p. 1-8 / Harvested from Mathematical Communications
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.
Publié le : 2017-11-25
Classification:  multivariate generalized perspective, multivariate perspective, operator convexity,  Primary 81P45, Secondary 94A17, 26B25
@article{mc1987,
     author = {Nikoufar, Ismail and Shamohammadi, Moosa},
     title = {Generalized perspectives of functions of several variables},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 1-8},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1987}
}
Nikoufar, Ismail; Shamohammadi, Moosa. Generalized perspectives of functions of several variables. Mathematical Communications, Tome 22 (2017) no. 1, pp.  1-8. http://gdmltest.u-ga.fr/item/mc1987/