Invariants of algebraic derivations and automorphisms in Banach algebras

JOURNAL OF ALGEBRA

卷:403

Article

Liau, Pao-Kuei¹  Liu, Cheng-Kai¹ 

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

关键词: Centralizer;    Derivation;    Automorphism;    Banach algebra;   

DOI  :  10.1016/j.jalgebra.2013.10.035

来源: Elsevier

【 摘 要 】

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 Palados (2011) (2011) [15] for the case of inner derivations in complex semisimple Banach algebras. The analogous result for automorphism case is also obtained. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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