Approximate Homomorphisms of Ternary Semigroups

被引：0
作者：
M. Amyari
M. S. Moslehian
机构：
[1] Islamic Azad University,Department of Mathematics
[2] Ferdowski University,Department of Mathematics
来源：
Letters in Mathematical Physics | 2006年 / 77卷
关键词：
Ternary semigroup; ternary homomorphism; generalized Hyers–Ulam–Rassias stability; direct method; superstability; Banach algebra;
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学科分类号：
摘要：
A mapping f : (G1,[ ]1)→ (G2,[ ]2) between ternary semigroups will be called a ternary homomorphism if f([xyz]1)=[f(x)f(y)f(z)]2. In this paper, we prove the generalized Hyers–Ulam–Rassias stability of mappings of commutative semigroups into Banach spaces. In addition, we establish the superstability of ternary homomorphisms into Banach algebras endowed with multiplicative norms
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页码：1 / 9
页数：8
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