학술저널
Continuity of Higher Derivations on Some Semiprime Banach Algebras
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 2, No. 1
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1989.0637 - 44 (8 pages)
- 0
In this paper, it is shown that automatic continuity of derivations on some semiprime Banach algebras can be extended to higher derivations. In particular, we show that if every prime ideal is closed in a commutative semiprime Banach algebra then every higher derivation on it is continuous.
ABSTRACT
I. Introduction
II. Continuity of Higher Derivations
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