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Complementation of Jordan triples in von Neumann algebras

Authors: Cho-Ho Chu and Bruno Iochum
Journal: Proc. Amer. Math. Soc. 108 (1990), 19-24
MSC: Primary 46L10; Secondary 17C65, 46B20, 46L70
MathSciNet review: 990418
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Abstract: We show that the predual of a JBW*-triple is complemented in the predual of a von Neumann algebra. Hence a quotientof a JB*-triple does not contain $ {l_1}$ if and only if its dual enjoys the Radon-Nikodym property. We also show that a JB*-triple either contains $ {c_0}$ or is reflexive.

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Keywords: JB*-triple, von Neumann algebra, complemented subspace
Article copyright: © Copyright 1990 American Mathematical Society

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