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Additivity of Jordan maps on triangular algebras

โœ Scribed by Du, Yiqiu; Wang, Yu

Book ID
111947063
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
118 KB
Volume
60
Category
Article
ISSN
0308-1087

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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 โˆˆ A. If A contains an idempotent which satisfies some conditions, then ฯ† is additive. This result generalizes all results about additivity of Jordan m

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โœ Pengtong Li; Fangyan Lu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 220 KB

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