Operator space characterizations of C*-algebras and ternary
rings
We prove that an operator space is completely isometric to a
ternary ring of operatorsr if and only if the open unit balls of all of
its matrix spaces are bounded symmetric domains. From this we obtain an
operator space characterization of C*-algebras.
(This paper has appeared in Pac. J. Math. 209 (2003), 339-364.)
Matthew Neal < nealm@denison.edu >
Bernard Russo < brusso@math.uci.edu >