APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS

作者：Bae Jae Hyeong^*; Park Won Gil

来源：Bulletin of the Korean Mathematical Society, 2010, 47(1): 195-209.

DOI：10.4134/BKMS.2010.47.1.195

• bi-additive mapping
• C*-ternary algebra

In this paper, we prove the generalized Hyers-Ulam stability of bi-homomorphisms in C*-ternary algebras and of bi-derivations on C*-ternary algebras for the following bi-additive functional equation
f(x + y, z - w) + f(x - y, z + w) = 2f(x, z) - 2f(y, w).
This is applied to investigate bi-isomorphisms between C*-ternary algebras.

• 出版日期2010-1