ON LEFT DERIVATIONS AND DERIVATIONS OF BANACH ALGEBRAS

  • Jung, Yong-Soo (Department of Mathematics, Chungnam National University)
  • Published : 1998.11.01

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 always zero.