Normal contractive projections preserve type
Given a JBW*-triple Z and a normal contractive projection P on Z, we show that the (Murray-von Neumann) type of each summand of P(Z) is dominated by the type of Z.
math.OA↗
arXiv subjects
Matthew Neal
Publications and source records attributed to Matthew Neal.
Operator space characterizations of C*-algebras and ternary rings
We prove that an operator space is completely isometric to a ternary ring of operators 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.
math.OA↗