The density property for JB*-triples

Citation
S. Dineen et al., The density property for JB*-triples, STUD MATH, 137(2), 1999, pp. 143-160
Citations number
14
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223 → ACNP
Volume
137
Issue
2
Year of publication
1999
Pages
143 - 160
Database
ISI
SICI code
0039-3223(1999)137:2<143:TDPFJ>2.0.ZU;2-J
Abstract
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 t hat if a JB*-triple has this density property then the quasi-invertible man ifold is homogeneous for biholomorphic mappings. Explicit formulae for the biholomorphic mappings are also given.