Additivity of Jordan maps on standard Jordan operator algebra

作者：Ji Peisheng^*; Liu Zhongyan

来源：Linear Algebra and Its Applications, 2009, 430(1): 335-343.

DOI：10.1016/j.laa.2008.07.023

• Jordan maps
• Standard Jordan operator algebras
• Additivity

Let A be a standard Jordan operator algebra on a Hilbert space of dimension >1 and B be an arbitrary Jordan algebra. In this note, we prove that if a bijection phi : A -> B satisfies
phi(a circle b) = phi(a) circle phi(b) for all a, b is an element of A,
where circle is the special Jordan product on A, then phi is additive.

• 出版日期2009-1-1
• 单位青岛大学