Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 4
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- Pages.659-667
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
ON LEFT DERIVATIONS AND DERIVATIONS OF BANACH ALGEBRAS
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.