Isomorphisms between C*-ternary algebras
- Authors
- Park, Choonkil
- Issue Date
- Mar-2007
- Publisher
- Academic Press
- Keywords
- Cauchy-Jensen functional equation; C*-ternary algebra isomorphism; Hyers-Ulam-Rassias stability; C*-ternary derivation
- Citation
- Journal of Mathematical Analysis and Applications, v.327, no.1, pp 101 - 115
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Analysis and Applications
- Volume
- 327
- Number
- 1
- Start Page
- 101
- End Page
- 115
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/180394
- DOI
- 10.1016/j.jmaa.2006.04.010
- ISSN
- 0022-247X
1096-0813
- 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 Cauchy-Jensen additive mappings: [GRAPHICS] [GRAPHICS] [GRAPHICS] These are applied to investigate isomorphisms between C*-ternary algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in his paper [Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978) 297-300].
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