Spectral theory for facially homogenous symmetric self-dual cones.
Spectrum preserving linear mappings in Banach algebras
Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.
Split faces and ideal structure of operator algebras.
Structure of the predual of a JBW*-triple.
Strucutre and representations of noncommutative C*-Jordan algebras.
Supporting sequences of pure states on JB algebras
We show that any sequence of mutually orthogonal pure states on a JB algebra A such that forms an almost discrete sequence in the relative topology induced by the primitive ideal space of A admits a sequence consisting of positive, norm one, elements of A with pairwise orthogonal supports which is supporting for in the sense of for all n. Moreover, if A is separable then can be taken such that is uniquely determined by the biorthogonality condition . Consequences of this result improving...
Symmetric Manifolds of Compact type Associated to the JB*-Triples Co (X,Z).