Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f , d : R → A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y ∈ R, then there exist a generalized de
✦ LIBER ✦
On the closed Lie ideals of certainC*-algebras
✍ Scribed by Laurent Marcoux
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1995
- Tongue
- English
- Weight
- 460 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
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## Abstract Nest algebras provide examples of partial Jordan \*–triples. If __A__ is a nest algebra and __A__~__s__~ = __A__ ∩ A\*, where __A__\* is the set of the adjoints of the operators lying in __A__, then (__A__, __A__~__s__~) forms a partial Jordan \*–triple. Any weak\*–closed ideal in the n