A note on generalized derivations in Banach algebras

被引:2
作者
Liu, Cheng-Kai [1 ]
机构
[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan
关键词
Banach algebra; Radical; Spectrum; Generalized derivation; MULTILINEAR POLYNOMIALS; RINGS; IDEALS; SOCLE;
D O I
10.1016/j.jmaa.2011.03.059
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we characterize a complex Banach algebra A admitting a generalized derivation g such that the cardinality of the spectrum sigma (g(x)) is exactly one for all x is an element of A. (C) 2011 Published by Elsevier Inc.
引用
收藏
页码:192 / 197
页数:6
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