The notion of normal cones is used to characterize $C^*$-$m$-convex algebras among unital, symmetric and complete $m$-convex algebras.
@article{119335, author = {El Kinani, A. and Mohamed Amine Nejjari and Mohamed Oudadess}, title = {Normal cones and $C^*$-$m$-convex structure}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {43}, year = {2002}, pages = {467-472}, zbl = {1090.46041}, mrnumber = {1920521}, language = {en}, url = {http://dml.mathdoc.fr/item/119335} }
El Kinani, A.; Nejjari, Mohamed Amine; Oudadess, Mohamed. Normal cones and $C^*$-$m$-convex structure. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 467-472. http://gdmltest.u-ga.fr/item/119335/
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