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.
Original language | English |
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Pages (from-to) | 313-323 |
Number of pages | 11 |
Journal | Journal of Algebra |
Volume | 403 |
DOIs | |
Publication status | Published - 2014 Feb 1 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory