Article ID Journal Published Year Pages File Type
4584850 Journal of Algebra 2014 11 Pages PDF
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
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