Isomorphisms between C*-ternary algebras

By Choonkill Park. 2006

48 citations recorded by the source corpus.

In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for the following generalized Cauchy–Jensen additive mapping:2f(∑j=1pxj2+∑j=1dyj)=∑j=1pf(xj)+2∑j=1df(yj).This is applied to investigate isomorphisms between C*-ternary algebras. The concept of Hyers-Ulam-Rassias stability originated from the Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, see Proc. Amr. Math. Soc. 72, 297–300 (1978).

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/4e37108abb7eabef5c740164c98061b51202377b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jianlian Cui
2. Choonkill Park

In Applied Mathematics

1. Jianlian Cui
2. Choonkill Park

Citations in the corpus

• Generalized stability of C* -ternary quadratic mappings (2007, background): “Găvruţa [6] provided a further generalization of Hyers-Ulam theorem (see [7, 8]).”