Abstract:The notion of normal cones is used to characterize $C^{*}$-$m$-convex algebras among unital, symmetric and complete $m$-convex algebras.
Keywords: $m$-convexity, normal cone, $C^{*}$-structure, $C^{*}$-$m$-convex structure
AMS Subject Classification: 46K05, 46L99