Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584850 | Journal of Algebra | 2014 | 11 Pages |
Abstract
We prove that if a semisimple real or complex Banach algebra A possesses an algebraic derivation whose invariants are algebraic, then A is finite-dimensional. This result is a full generalization of a recent result by Haily, Kaidi and Palacios (2011) [15] for the case of inner derivations in complex semisimple Banach algebras. The analogous result for automorphism case is also obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pao-Kuei Liau, Cheng-Kai Liu,