Additivity of Jordan maps on Jordan algebras
β Scribed by Peisheng Ji
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 158 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
Let A and B be two Jordan algebras. In this paper, we investigate the additivity of maps Ο from A onto B that are bijective and satisfy
for all a, b β A. If A contains an idempotent which satisfies some conditions, then Ο is additive. This result generalizes all results about additivity of Jordan maps in [
π SIMILAR VOLUMES
Let A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater than one and B an arbitrary algebra. A Jordan elementary map of A Γ B is a pair (M, M \* ) where M : A β B and M \* : B β A are two maps satisfying In this note, it is proved that for a special class of surject
In this paper, we prove that a bijective map Ο from A, a standard subalgebra of a nest algebra on a Hilbert space, onto an algebra that satisfies where r is a fixed nonzero rational number, is additive.