On the Derivations of Semiprime Rings and Noncommutative Banach Algebras |
| |
| Authors: | Byungdo Kim |
| |
| Institution: | (1) Department of Mathematics, Kangnung National University, Kangnung, Kangwon-Do, 210-702, Korea |
| |
| Abstract: | Abstract
Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A→A such that D(x), x]D(x)D(x),x] ∈ rad(A) for all x∈A. In this case, D(A) ⊆ rad (A).
The author has been supported by Kangnung National University, Research Fund, 1998 |
| |
| Keywords: | Prime and semiprime rings Derivations Jordan derivations Jacobson radical Banach algebras Spectral radius |
| 本文献已被 SpringerLink 等数据库收录！ |
|
