Classification of continuous \(JBW^*\)-triples. (English) Zbl 0659.46063

Horn, G.; Neher, E.

Trans. Am. Math. Soc. 306, No. 2, 553-578 (1988).

Pursuing the analogy between \(W^*\)-algebras and \(JBW^*\)-triples, the authors give a characterization of \(JBW^*\) triples without a type I summand.

Reviewer: S.Sankaran

MSC:

46L70	Nonassociative selfadjoint operator algebras
17C10	Structure theory for Jordan algebras
17A40	Ternary compositions

Keywords:

\(JBW^*\)-triples; \(JBW^*\) triples without a type I summand