Homomorphisms in quasi-Banach algebras associated with a Pexiderized Cauchy-Jensen functional equation

被引：9
|
作者：
Najati, Abbas [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Dept Math, Fac Sci, Ardebil, Iran
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 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; C-ASTERISK-ALGEBRAS; ULAM-RASSIAS STABILITY; APPROXIMATELY ADDITIVE MAPPINGS; LINEAR MAPPINGS; SPACES; ISOMORPHISMS; MODULES;
D O I：
10.1007/s10114-009-7648-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the generalized Hyers-Ulam stability of homomorphisms in quasi-Banach algebras associated with the following Pexiderized Jensen functional equation [GRAPHICS] This is applied to investigating homomorphisms between quasi-Banach algebras. The concept of the generalized 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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