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Isomorphisms between C*-ternary algebrasopen access
- Authors
- Park, Choonkil
- Issue Date
- Mar-2007
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- 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
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 327
- Number
- 1
- Start Page
- 101
- End Page
- 115
- ISSN
- 0022-247X
- 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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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)