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The Quarterly Journal of Mathematics 2001 52(1):79-87; doi:10.1093/qjmath/52.1.79
© 2001 by Oxford University Press
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Atomic decomposition of real JBW-triples

A. Peralta1 and L. L. Stachó2

1 Departamento de Analisis Matematico, Universidad de Granada, 18071 Granada, Spain, e-mail: aperalta{at}ugr.es 2 Bolyai Institute, University of Szeged, 6720 Szeged, Hungary, e-mail: stacho{at}math.u-szeged.hu

We study the natural partial ordering in the set of all tripotents of a real JB*-triple. We prove some characterizations of real-minimal tripotents and an atomic deocmpostion theorem for real JBW*-triples is given.

Received 29 June 1999. Revised 16 March 2000.


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