학술저널
LINEAR -DERIVATIONS ON C-ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 1
-
2010.0349 - 57 (9 pages)
- 2
It is shown that for a derivation f(x1 · · · xj−1xjxj+1 · · · xk) =Xkj=1x1 · · · xj−1xj+1 · · · xkf(xj)on a unital C-algebra B, there exists a unique C-linear -derivation D : B ! B near the derivation, by using the Hyers-Ulam-Rassias stability of functional equations. The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300.
1. Introduction
2. Stability of linear -derivations on C-algebras
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