ADDITIVITY OF MAPS PRESERVING JORDAN eta(*)-PRODUCTS ON C*-ALGEBRAS

作者：Taghavi A^*; Rohi H; Darvish V

来源：Bulletin of the Iranian Mathematical Society, 2015, 41(7): 107-116.

• Maps preserving Jordan eta(*)-product
• Additive
• Prime C*-algebras

Let A and B be two C*-algebras such that B is prime. In this paper, we investigate the additivity of maps Phi from A onto B that are bijective, unital and that satisfy Phi(AP + eta PA*) = Phi(A)Phi(P) + eta Phi(P)Phi(A)*, for all A is an element of A and P is an element of {P-1, I-A - P-1} where P-1 is a nontrivial projection in A. If eta is a non-zero complex number such that vertical bar eta vertical bar not equal 1, then Phi is additive. Moreover, if eta is rational, then Phi is *-additive.

• 出版日期2015-12