Isomorphisms between C-*-ternary algebras
- Authors
- Park, Choonkil
- Issue Date
- Oct-2006
- Publisher
- AMER INST PHYSICS
- Citation
- JOURNAL OF MATHEMATICAL PHYSICS, v.47, no.10
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL PHYSICS
- Volume
- 47
- Number
- 10
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/180948
- DOI
- 10.1063/1.2359576
- ISSN
- 0022-2488
- Abstract
- 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(Sigma(p)(j-1)x(j)/2 + Sigma(d)(j=1)y(i)) = Sigma(p)(j=1)f(x(j)) + 2 Sigma(d)(j=1)f(y(i))/ 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).
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