刊名:Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
出版年:2017
出版时间:March 2017
年:2017
卷:58
期:1
页码:179-187
全文大小:
刊物类别:Mathematics and Statistics
刊物主题:Algebra; Geometry; Algebraic Geometry; Convex and Discrete Geometry;
出版者:Springer Berlin Heidelberg
ISSN:2191-0383
卷排序:58
文摘
In this article we study various conditions on a unital prime Banach algebra that ensure its commutativity. More specifically, we prove that a unital prime Banach algebra A with a nonzero continuous linear generalized derivation g associated with a nonzero linear continuous derivation d satisfying either \(g((xy)^n)-d(x^n)d(y^n)\in Z(A)\) or \(g((xy)^n)-d(y^n)d(x^n)\in Z(A)\), for sufficiently many x, y and an integer \(n=n(x,y)>1\) is commutative.
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