Homomorphisms in Quasi-Banach Algebras Associated with a Pexiderized Cauchy-Jensen Functional Equation

被引：0
|
作者：
Abbas NAJATI [1 ]
机构：
[1] Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili
来源：
ActaMathematicaSinica(EnglishSeries) | 2009年 / 25卷 / 09期
关键词：
Cauchy additive mapping; Jensen additive mapping; homomorphisms in quasi-Banach algebras; generalized Hyers-Ulam stability; p-Banach algebra;
D O I：
暂无
中图分类号：
O153 [抽象代数（近世代数）];
学科分类号：
070104 ;
摘要：
In this paper,we prove the generalized Hyers-Ulam stability of homomorphisms in quasiBanachalgebras associated with the following Pexiderized Jensen functional equationf (x+y/2+z) - g(x-y/2+z) = h(y).This is applied to investigating homomorphisms between quasi-Banach algebras.The concept of thegeneralized Hyers-Ulam stability originated from Rassias’ stability theorem that appeared in his paper:On the stability of the linear mapping in Banach spaces,Proc.Amer.Math.Soc.,72,297-300 (1978).
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页码：1529 / 1542
页数：14
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