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C*-TERNARY HOMOMORPHISMS, C*-TERNARY DERIVATIONS, JB*-TRIPLE HOMOMORPHISMS AND JB*-TRIPLE DERIVATIONS
- Authors
- Park, Choonkil
- Issue Date
- Apr-2013
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Apollonius type additive functional equation; C*-ternary homomorphism; C*-ternary derivation; JB*-triple homomorphism; JB*-triple derivation; fixed point
- Citation
- INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v.10, no.4
- Indexed
- SCIE
SCOPUS
- Volume
- 10
- Number
- 4
- ISSN
- 0219-8878
- Abstract
- Park and Rassias proved the superstability of C*-ternary homomorphisms, C*-ternary derivations, JB*-triple homomorphisms and JB*-triple derivations, associated with the following Apollonius type additive functional equation f(z - x) + f(z - y) = - 1/2 f(x + y) + 2f (z - x + y/4) by using direct method. Under the conditions of the theorems, we can show that the mappings f must be zero. In this paper, we correct the conditions. Furthermore, we prove the superstability of C*-ternary homomorphisms, C*-ternary derivations, JB*-triple homomorphisms and JB*-triple derivations by using fixed point method.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)