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http://dx.doi.org/10.4134/BKMS.2011.48.5.959

ON THE STABILITY OF BI-DERIVATIONS IN BANACH ALGEBRAS  

Jung, Yong-Soo (Department of Mathematics Sun Moon University)
Park, Kyoo-Hong (Department of Mathematics Education Seowon University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 959-967 More about this Journal
Abstract
Let A be a Banach algebra and let f : $A{\times}A{\rightarrow}A$ 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 : $A{\times}A{\rightarrow}A$ is an exact bi-derivation. Moreover, if A is unital, prime and f is symmetric, then f = 0.
Keywords
bi-derivation; approximate bi-derivation; stability;
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Times Cited By Web Of Science : 0  (Related Records In Web of Science)
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