Abstract
Let A be a Banach algebra, let σ be an automorphism of A, and let d, δ be q-skew σ-derivations of A. We show that if dδ(a) is quasi-nilpotent for any a∈A, then dδ(a)3 lies in the radical of A for all a∈A. This result simultaneously generalizes the previous results obtained by Brešar and Šemrl [5], Chebotar et al. [7] and Abdelali [1].
Original language | English |
---|---|
Pages (from-to) | 2413-2429 |
Number of pages | 17 |
Journal | Linear Algebra and Its Applications |
Volume | 434 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2011 Jun 15 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics