Abstract
The main result of this paper is a geometric characterization of the unit ball of the dual of a complex spin factor. THEOREM. A strongly facially symmetric space of type I 2 in which every proper norm closed face in the unit ball is norm exposed, and which satisfies symmetry of transition probabilities, is linearly isometric to the dual of a complex spin factor. This result is an important step in the authors' program of showing that the class of all strongly facially symmetric spaces satisfying certain natural and physically significant axioms is equivalent isometricaIly to the class of all predual spaces JBW.-triples
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