Invariants of algebraic derivations and automorphisms in Banach algebras

被引：2

作者：

Liau, Pao-Kuei ^{[1
]}

Liu, Cheng-Kai ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2014年 / 403卷

关键词：

Centralizer; Derivation; Automorphism; Banach algebra; POLYNOMIAL IDENTITY; DESCENT SPECTRUM; SKEW DERIVATIONS; CONSTANTS; RINGS; CENTRALIZERS;

D O I：

10.1016/j.jalgebra.2013.10.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：313 / 323

页数：11

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