𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Additivity of Jordan maps on standard Jordan operator algebras

✍ Scribed by Peisheng Ji; Zhongyan Liu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
124 KB
Volume
430
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Additivity of Jordan maps on Jordan alge
✍ Peisheng Ji πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 158 KB

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

Additivity of Jordan elementary maps on
✍ Pengtong Li; Fangyan Lu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 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 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

Jordan maps of nest algebras
✍ Zhengchu Ling; Fangyan Lu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 178 KB

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.