Abstract
Applying the extended Jacobson density theorem for rings with automorphisms and skew derivations, we characterize a generalized skew derivation of rings or Banach algebras so that the values of on a left ideal are nilpotent. The analogous results for -algebras and standard operator algebras on Banach spaces are also described.
| Original language | English |
|---|---|
| Pages (from-to) | 453-465 |
| Number of pages | 13 |
| Journal | Linear and Multilinear Algebra |
| Volume | 62 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2014 Apr 1 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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Liu, C. K., Chen, H. Y., & Liau, P. K. (2014). Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras. Linear and Multilinear Algebra, 62(4), 453-465. https://doi.org/10.1080/03081087.2013.780604