Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 8 Issue 1
- /
- Pages.37-44
- /
- 1995
- /
- 1226-3524(pISSN)
- /
- 2383-6245(eISSN)
LEFT DERIVATIONS ON BANACH ALGEBRAS
-
Jung, Yong-Soo
(Department of Mathematics Chungnam National University)
- Received : 1995.06.08
- Published : 1995.06.30
Abstract
In this paper we show that every left derivation on a semiprime Banach algebra A is a derivation which maps A into the intersection of the center of A and the Jacobson radical of A, and hence every left derivation on a semisimple Banach algebra is zero.