International Journal of Mathematics and Mathematical Sciences 
Volume 29 (2002), Issue 10, Pages 579-583
doi:10.1155/S0161171202007676

Derivations in Banach algebras

Kyoo-Hong Park,1 Yong-Soo Jung,2 and Jae-Hyeong Bae2

 1Department of Mathematics Education, Seowon University, Chungbuk, Chongju 361-742, Korea
2Department of Mathematics, Chungnam National University, Taejon 305-764, Korea
Received 23 October 2000; Revised 2 June 2001

Abstract

We present some conditions which imply that a derivation on a Banach algebra maps the algebra into its Jacobson radical.