ON THE STABILITY OF BI-DERIVATIONS IN BANACH ALGEBRAS

Yong-Soo Jung, Kyoo-Hong Park
2011 Bulletin of the Korean Mathematical Society  
Let A be a Banach algebra and let f : A × A → A be an approximate bi-derivation in the sense of Hyers-Ulam-Rassias. In this note, we proves the Hyers-Ulam-Rassias stability of bi-derivations on Banach algebras. If, in addition, A is unital, then f : A × A → A is an exact bi-derivation. Moreover, if A is unital, prime and f is symmetric, then f = 0.
doi:10.4134/bkms.2011.48.5.959 fatcat:lga5zkzfvzhw7knq5b372kz4v4