A holomorphic characterization of operator algebras
A necessary and sufficient condition for an operator space
(quantum Banach space) to support a multiplication making it completely
isometric and isomorphic to a unital
operator algebra is proved. The condition involves only the complete
holomorphic vector field structure of the Banach spaces underlying the
operator space and the proof uses the associated partial Jordan triple
product.
(This paper has appeared in Math. Scand. 115 (2014), no. 2, 229-268)
Matthew Neal < nealm@denison.edu >
Bernard Russo < brusso@math.uci.edu >