Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 2 Issue 1
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- Pages.37-44
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- 1989
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
Continuity of Higher Derivations on Some Semiprime Banach Algebras
- Lee, Young-Whan (Department of Mathematics University of Taejon)
- Received : 1989.05.29
- Published : 1989.06.30
Abstract
In this paper, it is shown that automatic continuity of derivations on some semi prime Banach algebras can be extended to higher derivations. In particular, we show that if every prime ideal is closed in a commutative semi prime Banach algebra then every higher derivation on it is continuous.
Keywords