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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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