Additivity of Jordan maps on Jordan algebras

作者：Ji Peisheng^*

来源：Linear Algebra and Its Applications, 2009, 431(1-2): 179-188.

DOI：10.1016/j.laa.2009.02.022

• Jordan maps
• Jordan algebras
• Additivity

LetA and B be two Jordan algebras. In this paper, we investigate the additivity of maps phi from A onto B that are bijective and satisfy
phi (a circle b) = phi(a)circle phi(b),
for all a, b is an element of A. If A contains an idempotent which satisfies some conditions, then phi is additive. This result generalizes all results about additivity of Jordan maps in [1,3,4,5,6,7,8,9,11].

• 出版日期2009-7-1
• 单位青岛大学