대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제35권4호
- /
- Pages.659-667
- /
- 1998
- /
- 1015-8634(pISSN)
- /
- 2234-3016(eISSN)
ON LEFT DERIVATIONS AND DERIVATIONS OF BANACH ALGEBRAS
초록
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 always zero.