Bulletin of the
Korean Mathematical Society
BKMS
ISSN(Print) 1015-8634
ISSN(Online) 2234-3016
Article
HOME
ALL ARTICLES
View
ALL ARTICLES
View
Bull. Korean Math. Soc. 2000; 37(2): 265-272
Printed June 1, 2000
Copyright © The Korean Mathematical Society.
Results on the range of derivations
Yong-Soo Jung
Chungnam National University
Let $D$ be a derivation on a Banach algebra $A$. Suppose that $[[D(x),x],D(x)]$ lies in the nil radical of $A$ for all $x \in A$. Then $D(A)$ is contained in the Jacobson radical of $A$.
Keywords: derivation, prime algebra, Banach algebra, nil radical, Jacobson radical
MSC numbers: 46H05, 47B47
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Linear derivations in Banach algebras
2001; 38(3): 443-447
-
Weak amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
2017; 54(6): 1991-1999
-
The image of a continuous strong higher derivation is contained in the radical
1996; 33(2): 229-232
-
On left derivations and derivations of Banach algebras
1998; 35(4): 659-665
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd