On the Derivations of Semiprime Rings and Noncommutative Banach Algebras
Author: Kim, Byungdo
Source: Acta Mathematica Sinica, Volume 16, Number 1, January 2000 , pp. 21-28(8)
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).
Document Type: Research article
Publication date: 2000-01-01