Additive maps preserving commutativity up to a factor on nest algebras

作者：Jiao Meiyan^*; Qi Xiaofei

来源：Linear and Multilinear Algebra, 2015, 63(6): 1242-1256.

DOI：10.1080/03081087.2014.927985

• commutativity up to a factor
• Jordan isomorphisms
• nest algebras
• 47A12
• Primary: 47B49

Let and be two nests with and complemented in and whenever and , respectively. Assume that is a unital additive surjection. In this paper, all additive maps preserving commutativity up to a factor () in both directions (i.e. satisfies if and only if for all ) are characterized.

• 出版日期2015-6-3