Additive maps preserving Jordan zero-products on nest algebras
โ Scribed by Jinchuan Hou; Meiyan Jiao
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 171 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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๐ 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 ร B is a pair (M, M \* ) where M : A โ B and M \* : B โ A are two maps satisfying In this note, it is proved that for a special class of surject
In this paper, we characterize rank-1 preserving linear maps between nest algebras acting on real or complex Banach spaces. As applications, we show that every weakly continuous and surjective local automorphism (or, anti-automorphism) on a nest algebra with an additional property is either an autom
Let A and B be two Jordan algebras. In this paper, we investigate the additivity of maps ฯ from A onto B that are bijective and satisfy for all a, b โ A. If A contains an idempotent which satisfies some conditions, then ฯ is additive. This result generalizes all results about additivity of Jordan m