Geodesic
Normal cones and $C^*$-$m$-convex structure
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 3, pp. 467-472

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The notion of normal cones is used to characterize $C^*$-$m$-convex algebras among unital, symmetric and complete $m$-convex algebras.
Classification : 46K05, 46L05, 46L99
Keywords: $m$-convexity; normal cone; $C^*$-structure; $C^*$-$m$-convex structure 
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El Kinani, A.; Nejjari, M. A.; Oudadess, M. Normal cones and $C^*$-$m$-convex structure. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 3, pp. 467-472. http://geodesic.mathdoc.fr/item/CMUC_2002__43_3_a5/