Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 26 Issue 1
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- Pages.31-34
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- 1989
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
DERIVATIONS ON COMMUTATIVE BANACH ALGEBRAS
- Lee, Young-Whan (Universityof Taejon) ;
- Jun, Kil-Woung (Chungnam National University)
- Published : 1989.02.01
Abstract
In this paper we show that if there is a derivation on a commutative Banach algebra which has a non-nilpotent separating space, then there is a discontinuous derivation on a commutative Banach algebra which has a range in its radical. Also we show that if every prime ideal is closed in a commutative Banach algebra with identity then every derivation on it has a range in its radical.
Keywords