학술저널
A Note on Derivations of Banach Algebras
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 7, No. 1
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1994.0625 - 32 (8 pages)
- 0
Let A be a (complex) Banach algebra. The object of the this paper shall be remove the continuity of the derivation in the recently theorems. We prove that every derivation D on A satisfying [D(a), a] ∈ Prad(A) for all a E A maps into the radical of A. Also if aD³ + D² is a derivation for some a ∈ C and all minimal prime ideals are closed, then D maps into its radical.
ABSTRACT
1. Introduction
2. The Results
REFERENCES
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