충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제8권1호
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- Pages.37-44
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- 1995
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
LEFT DERIVATIONS ON BANACH ALGEBRAS
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Jung, Yong-Soo
(Department of Mathematics Chungnam National University)
- 투고 : 1995.06.08
- 발행 : 1995.06.30
초록
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 zero.