Approximate Homomorphisms of Ternary Semigroups

M. Amyari; M. S. Moslehian

doi:10.1007/s11005-005-0042-6

Approximate Homomorphisms of Ternary Semigroups

数学物理 2021-07-23 v1 泛函分析 math.MP

作者: M. Amyari , M. S. Moslehian

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摘要

A mapping $f:(G_1,[ ]_1)\to (G_2,[ ]_2)$ 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.

引用

@article{arxiv.math-ph/0511039,
  title  = {Approximate Homomorphisms of Ternary Semigroups},
  author = {M. Amyari and M. S. Moslehian},
  journal= {arXiv preprint arXiv:math-ph/0511039},
  year   = {2021}
}

备注

10 pages

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