Abstract:
Finite dimensional JB \ast;-triples have a uniquely associated simply connected compact symmetric manifold. In infinite dimensions, different constructions have been used to yield three possibly different Banach manifolds from a JB \ast; all of which display compact like behaviour. We clarify the relationship between these three manifolds and characterise a case when all three of these manifolds coincide as in the finite dimensional case. These results have been announced in [11].
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 29 May 2001
Rights and permissions
About this article
Cite this article
Mackey, M., Mellon, P. Compact-like manifolds associated to JB*-triples. manuscripta math. 106, 203–212 (2001). https://doi.org/10.1007/s002290100202
Issue Date:
DOI: https://doi.org/10.1007/s002290100202