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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
DOI: https://doi.org/10.1090/S0002-9939-1990-0990418-4
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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0990418-4
Keywords: JB*-triple, von Neumann algebra, complemented subspace
Article copyright: © Copyright 1990 American Mathematical Society