# DERIVATIONS ON PRIME RINGS AND BANACH ALGEBRAS

• Jun, Kil-Woung (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
• Kim, Hark-Mahn (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
• Published : 2001.01.01
• 91 8

#### Abstract

In this paper we show that if D and G are continuous linear Jordan derivations on a Banach algebra A satisfying [D(x), x]x - x[G(x),x] $\epsilon$ rad(A)for all $\epsilon$ A, then both D and G map A into rad(A).

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