4 papers
State spaces of JB*-triples
Matthew Neal, Bernard Russo
An atomic decomposition is proved for Banach spaces which satisfy some affine geometric axioms compatible with notions from the quantum mechanical measuring process. This is then a…
Operator space characterizations of C*-algebras and ternary rings
Matthew Neal, Bernard Russo
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.…
Normal contractive projections preserve type
Cho-Ho Chu, Matthew Neal, Bernard Russo
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.
Contractive projections and operator spaces
Matthew Neal, Bernard Russo
Parallel to the study of finite dimensional Banach spaces, there is a growing interest in the corresponding local theory of operator spaces. We define a family of Hilbertian operat…