# The density property for JB*-triples

Seán Dineen; Michael Mackey; Pauline Mellon

Studia Mathematica (1999)

- Volume: 137, Issue: 2, page 143-160
- ISSN: 0039-3223

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topDineen, Seán, Mackey, Michael, and Mellon, Pauline. "The density property for JB*-triples." Studia Mathematica 137.2 (1999): 143-160. <http://eudml.org/doc/216680>.

@article{Dineen1999,

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 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.},

author = {Dineen, Seán, Mackey, Michael, Mellon, Pauline},

journal = {Studia Mathematica},

keywords = {-algebra; -triples; quasi-invertible manifold; biholomorphic mappings},

language = {eng},

number = {2},

pages = {143-160},

title = {The density property for JB*-triples},

url = {http://eudml.org/doc/216680},

volume = {137},

year = {1999},

}

TY - JOUR

AU - Dineen, Seán

AU - Mackey, Michael

AU - Mellon, Pauline

TI - The density property for JB*-triples

JO - Studia Mathematica

PY - 1999

VL - 137

IS - 2

SP - 143

EP - 160

AB - 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.

LA - eng

KW - -algebra; -triples; quasi-invertible manifold; biholomorphic mappings

UR - http://eudml.org/doc/216680

ER -

## References

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- [10] J.-I. Nagata, Modern Dimension Theory, North-Holland, Amsterdam, 1985.
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