JB*-triples have Pelczynski's Property V.
The density property for JB*-triples
We obtain conditions on a JB*-algebra X so that the canonical embedding of X into its associated quasi-invertible manifold has dense range. We prove that if a JB* has this density property then the quasi-invertible manifold is homogeneous for biholomorphic mappings. Explicit formulae for the biholomorphic mappings are also given.
Holomorphic curvature of infinite dimensional symmetric complex Banach manifolds of compact type.
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