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Bicircular projections and characterization of Hilbert spaces

Authors: László L. Stachó and Borut Zalar
Journal: Proc. Amer. Math. Soc. 132 (2004), 3019-3025
MSC (2000): Primary 47L70; Secondary 17C65
Published electronically: June 2, 2004
MathSciNet review: 2063123
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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.

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Additional Information

László L. Stachó
Affiliation: University of Szeged, Bolyai Institute, Aradi Vértanúk tere 1, 6720 Szeged, Hungary

Borut Zalar
Affiliation: University of Maribor, Smetanova 17, 2000 Maribor, Slovenia

Keywords: JB* triple, bicircular projection, contractive projection, Hilbert space, Peirce decomposition
Received by editor(s): February 19, 2002
Received by editor(s) in revised form: March 26, 2003
Published electronically: June 2, 2004
Communicated by: David R. Larson
Article copyright: © Copyright 2004 American Mathematical Society

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