Invariants of algebraic derivations and automorphisms in Banach algebras

Pao Kuei Liau, Cheng Kai Liu

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

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 Palacios (2011) [15] for the case of inner derivations in complex semisimple Banach algebras. The analogous result for automorphism case is also obtained.

原文English
頁(從 - 到)313-323
頁數11
期刊Journal of Algebra
403
DOIs
出版狀態Published - 2014 二月 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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