On the Derivations of Semiprime Rings and Noncommutative Banach Algebras

Authors
Kim, Byungdo
Citation
Kim, Byungdo, On the Derivations of Semiprime Rings and Noncommutative Banach Algebras, Acta mathematica Sinica. English series (Print) , 16(1), 2000, pp. 21-28
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
1
Year of publication
2000
Pages
21 - 28
Database
ACNP
SICI code
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).