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.
@article{bwmeta1.element.bwnjournal-article-smv137i2p143bwm,
author = {Se\'an Dineen and Michael Mackey and Pauline Mellon},
title = {The density property for JB*-triples},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {143-160},
zbl = {0957.17032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv137i2p143bwm}
}
Dineen, Seán; Mackey, Michael; Mellon, Pauline. The density property for JB*-triples. Studia Mathematica, Tome 133 (1999) pp. 143-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv137i2p143bwm/
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