학술저널
JORDAN DERIVATIONS MAPPING INTO THE JACOBSON RADICAL
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 14, No. 1
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2001.0221 - 28 (8 pages)
- 0
In this paper we show that the following results remain valid for arbitrary Jordan derivations as well: Let d be a derivation of a complex Banach algebra A. If d2 (x) E rad(A) for all x E A , then we have d(A) 드 rad(A) ([5, p. 243]), and in a case when A is unital, d(A) 드 rad(A) if and only if sup{r(z- l d(z))lz E A invertible} < ∞ ([3]), where rad(A) stands for the Jacobson radical of A , and r(.) for the spectral radius.
1. Introduction
2. Results for the Jordan Derivation
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