Complementation of Jordan triples in von Neumann algebras

Chu, Cho-Ho; Iochum, Bruno

doi:10.1090/S0002-9939-1990-0990418-4

Complementation of Jordan triples in von Neumann algebras
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by Cho-Ho Chu and Bruno Iochum PDF

Proc. Amer. Math. Soc. 108 (1990), 19-24 Request permission

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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