University of Szeged, Bolyai Institute, Aradi Vértanúk tere 1, 6720 Szeged, Hungary ; University of Maribor, Smetanova 17, 2000 Maribor, Slovenia
Abstract:
We prove that every JB* triple with rank one bicircular projection is a direct sum of two ideals, one of which is isometrically isomorphic to a Hilbert space.