DERIVATIONS MAPPING INTO THE RADICAL

  • Kim, Hak-Mahn (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
  • 투고 : 1997.06.30
  • 발행 : 1997.07.31

초록

In this paper we prove that if D is a continuous derivation on a noncommutative complex Banach algebra A and [D(x),x] is idempotent for every $x{\in}A$, then D maps A into its radical.

키워드