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Bicircular projections and characterization of Hilbert spaces
Authors:  szló  L Stachó    Borut Zalar
Institution: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.

Keywords:JB* triple  bicircular projection  contractive projection  Hilbert space  Peirce decomposition
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